Question

1. simplify: $-1.5(2m - 4) + 0.5(6m + 2)$

a. 6

b. 5

c. 7

d. 4

Explanation:

Step1: Distribute coefficients

$-1.5(2m - 4) + 0.5(6m + 2) = -3m + 6 + 3m + 1$

Step2: Combine like terms

$(-3m + 3m) + (6 + 1) = 0m + 7$

Step3: Correct arithmetic error (6+1=7? No: -1.5(-4)=6, 0.52=1 → 6+1=7? Wait no: wait -1.52m=-3m, 0.56m=3m → -3m+3m=0; -1.5(-4)=6, 0.52=1 → 6+1=7? But option a is 6. Wait wait: 0.5(6m+2)=3m+1, -1.5(2m-4)=-3m+6. Sum: (-3m+3m)+(6+1)=7. But options have 7 as c. Oh wait maybe typo? Wait no: wait -1.5(2m-4) is -3m +6, 0.5(6m+2) is 3m +1. Total is 7. So answer is c.7.

Wait correction: Step2 sum constants:6+1=7. So final answer is 7, option c.

Step1: Distribute coefficients

$-1.5(2m - 4) + 0.5(6m + 2) = -3m + 6 + 3m + 1$

Step2: Combine like terms

$(-3m + 3m) + (6 + 1) = 7$

Answer:

a. 6