Question

question solve for w: -5(4w + 4) + w + 5 = 49 answer attempt 1 out of 3

Explanation:

Step1: Expand the left - hand side

First, use the distributive property $a(b + c)=ab+ac$. So, $-5(4w + 4)=-20w-20$. The equation becomes $-20w-20 + w+5 = 49$.

Step2: Combine like terms

Combine the $w$ terms and the constant terms on the left - hand side. $(-20w+w)+(-20 + 5)=49$, which simplifies to $-19w-15 = 49$.

Step3: Isolate the term with $w$

Add 15 to both sides of the equation: $-19w-15 + 15=49 + 15$, resulting in $-19w=64$.

Step4: Solve for $w$

Divide both sides by - 19: $w=\frac{64}{-19}=-\frac{64}{19}$.

Answer:

$w =-\frac{64}{19}$