-8w+3(w-8)=21

Solution for -8w+3(w-8)=21 equation:

Simplifying
-8w + 3(w + -8) = 21

Reorder the terms:
-8w + 3(-8 + w) = 21
-8w + (-8 * 3 + w * 3) = 21
-8w + (-24 + 3w) = 21

Reorder the terms:
-24 + -8w + 3w = 21

Combine like terms: -8w + 3w = -5w
-24 + -5w = 21

Solving
-24 + -5w = 21

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '24' to each side of the equation.
-24 + 24 + -5w = 21 + 24

Combine like terms: -24 + 24 = 0
0 + -5w = 21 + 24
-5w = 21 + 24

Combine like terms: 21 + 24 = 45
-5w = 45

Divide each side by '-5'.
w = -9

Simplifying
w = -9