Question

simplify expressions with distribution l2
score: 0/1 penalty: 0.25 off
question
rewrite in simplest terms: -0.9(-5v - 10w) - 4w - 0.7(-6w - 4v)
answer attempt 1 out of 2

Explanation:

Step1: Apply distributive property

$-0.9(-5v - 10w)=(-0.9)\times(-5v)+(-0.9)\times(-10w) = 4.5v + 9w$; $-0.7(-6w - 4v)=(-0.7)\times(-6w)+(-0.7)\times(-4v)=4.2w + 2.8v$

Step2: Substitute into original expression

The original expression $-0.9(-5v - 10w)-4w - 0.7(-6w - 4v)$ becomes $(4.5v + 9w)-4w+(4.2w + 2.8v)$

Step3: Combine like - terms

Combine the $v$ - terms: $4.5v+2.8v = 7.3v$; Combine the $w$ - terms: $9w-4w + 4.2w=(9 - 4+4.2)w=9.2w$

Answer:

$7.3v + 9.2w$