Question

1. (01.04 lc) simplify: (5a - 13c) - (-11a + 31c) - (17a - 11c) (5 points)

-a - 33c
2a + 7c
26a + 38c
-23a - 33c

Explanation:

Step1: Remove parentheses

$5a - 13c + 11a - 31c - 17a + 11c$

Step2: Combine like terms for $a$

$5a + 11a - 17a = (5+11-17)a = -a$

Step3: Combine like terms for $c$

$-13c - 31c + 11c = (-13-31+11)c = -33c$

Step4: Combine results

$-a - 33c$

Answer:

-a - 33c (Option 1: $\boldsymbol{-a - 33c}$)