Simplify the Expression: 3.4-3.4a+2.6b-7.5a with Like Terms

3.43.4a+2.6b7.5a=? 3.4-3.4a+2.6b-7.5a=\text{?}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify the expression
00:03 Mark the appropriate variables
00:08 Use the commutative law and arrange the appropriate variables together
00:28 Collect like terms
00:42 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3.43.4a+2.6b7.5a=? 3.4-3.4a+2.6b-7.5a=\text{?}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Identify the terms involving the same variables.
  • Combine like terms, particularly those involving a a .
  • Simplify the expression based on the calculations.

Now, let's work through each step:
Step 1: The given expression is 3.43.4a+2.6b7.5a 3.4 - 3.4a + 2.6b - 7.5a .
Step 2: Identify the like terms:
- The terms with a a are 3.4a -3.4a and 7.5a -7.5a .
Step 3: Combine these like terms:
- Calculate 3.4a7.5a=(3.47.5)a=10.9a -3.4a - 7.5a = (-3.4 - 7.5)a = -10.9a .
Step 4: Substitute back into the expression:
- The simplified expression is 3.410.9a+2.6b 3.4 - 10.9a + 2.6b .

Therefore, the solution to the problem is 3.410.9a+2.6b 3.4 - 10.9a + 2.6b .

3

Final Answer

3.410.9a+2.6b 3.4-10.9a+2.6b

Practice Quiz

Test your knowledge with interactive questions

Are the expressions the same or not?

\( 3+3+3+3 \)

\( 3\times4 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Algebraic Expressions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations