Solving the Equation: 2(3) + 3r = 12

Understanding how to solve linear equations is fundamental in algebra and forms the basis for many advanced math applications. One such equation frequently studied is 2(3) + 3r = 12. While seemingly simple, mastering this equation helps build strong problem-solving skills. In this article, we’ll walk through the step-by-step process of solving 2(3) + 3r = 12, explain the algebra behind it, and highlight common pitfalls and best practices.

Understanding the Context

What Does the Equation 2(3) + 3r = 12 Mean?

The expression 2(3) + 3r = 12 combines constants, multiplication, and a variable, which alters how we approach solving for r. Parentheses must be evaluated first, followed by multiplication before addition or equating.

Step-by-Step Solution

2(3) + 3r = 12

Key Insights

Step 1: Evaluate the Multiplication Inside Parentheses

Start by simplifying the expression inside the parentheses: 

2(3) = 6

Now rewrite the equation: 

6 + 3r = 12
```

Step 2: Isolate the Variable Term


Subtract 6 from both sides to eliminate the constant on the left:

6 + 3r - 6 = 12 - 6
3r = 6

Step 3: Solve for r

Divide both sides by 3:
3r ÷ 3 = 6 ÷ 3
r = 2

Final Answer

r = 2

Continue Reading

mckenna kyle
md2020
mean absolute deviation

🔗 Related Articles You Might Like:

📰 The Tw"There Are Only Two Movies You’ll Absolutely Not Watch Again 📰 You’ll Never Forget These Two Movies—Hollywood Can’t Erase Them 📰 What’s Worse Than Watching TWO Movies That Shook the World Forever 📰 The Dark Truth Behind The Black Dahlia Disturbing Crime Scene Photos You Cant Ignore 📰 The Dark World Of Blacksad You Wont Believe How Haunting This Animated Masterpiece Is 📰 The Darkest Beauty Blackened Angel Exposes The Scary Truth Behind The Icon 📰 The Darkest Heroes Rising Black Superheroes That Redefine Power 📰 The Decay Can Be Modeled By The Formula 📰 The Deep Truth Behind Blue Color Meaning Why Its Everything In Culture Psychology 📰 The Diagonal Of The Inscribed Square Equals The Diameter 2R 10 📰 The Dimensions Of The Planting Area Are 15 2X By 10 2X 📰 The Distance Between City A And City B Is 240 Km 📰 The Distance Traveled Is Calculated By Multiplying Speed By Time 📰 The Disturbing Black Screen With A White Line Experts Reveal The Hidden Cause 📰 The Duration Of Each Episode Forms An Arithmetic Sequence 📰 The Eerie Black Picture That Haunts Every Viewer Whats Inside Will Shock You 📰 The Elite Call It Beyondernow You Know What It Really Is Epic Breakthrough 📰 The Epic Caravan Of Color Cartoon Boat Thats Captivating Fans Worldwide

Final Thoughts

Why This Equation Matters

While 2(3) + 3r = 12 is a basic linear equation, solving it introduces key algebraic concepts:

  • Order of operations: Parentheses before multiplication
  • Isolating variables: Moving constants to the opposite side
  • Balancing both sides: Maintaining equation integrity by performing identical operations

These skills are essential for solving more complex equations in algebra, such as those involving multiple variables or higher-degree polynomials.

Tips for Solving Similar Equations

  • Always simplify expressions inside parentheses first.
  • Perform multiplication or division before addition or subtraction.
  • Keep one side of the equation isolated at each step.
  • Check your answer by substituting r = 2 back into the original equation:
    2(3) + 3(2) = 6 + 6 = 12 ✔

Related Topics

  • Linear equations with one variable
  • Solving equations with coefficients
  • Algebraic expression simplification
  • Equation balancing techniques