**Section: **
Math
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# Which of the following expressions is equivalent to the expression (December 2020 - D03)

Which of the following expressions is equivalent to the expression below?

-7(5a - b) + 3(-8b + a)

A. −38a − 31b

B. −34a − 25b

C. −34a − 17b

D. −32a − 25b

E. −32a − 17b

## Solution

Correct answer: **E. −32a − 17b**.

To simplify the given expression, distribute the coefficients:

−7(5a − b) + 3(−8b + a) = −35a + 7b − 24b + 3a

Combine like terms:

= −35a + 3a + 7b − 24b = −32a − 17b

So, the expression is equivalent to −32a − 17b, which corresponds to option E.

**Exam Edition: **
December 2020 - D03

**Exam Year: **
2020

**Related topics: **
Simplification of algebraic expressions, Distribution of coefficients