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

Question

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

Video Solution

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 .

Answer

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