-9=-8w+3(w+2)

Solution for -9=-8w+3(w+2) equation:

Simplifying
-9 = -8w + 3(w + 2)

Reorder the terms:
-9 = -8w + 3(2 + w)
-9 = -8w + (2 * 3 + w * 3)
-9 = -8w + (6 + 3w)

Reorder the terms:
-9 = 6 + -8w + 3w

Combine like terms: -8w + 3w = -5w
-9 = 6 + -5w

Solving
-9 = 6 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
-9 + 5w = 6 + -5w + 5w

Combine like terms: -5w + 5w = 0
-9 + 5w = 6 + 0
-9 + 5w = 6

Add '9' to each side of the equation.
-9 + 9 + 5w = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 5w = 6 + 9
5w = 6 + 9

Combine like terms: 6 + 9 = 15
5w = 15

Divide each side by '5'.
w = 3

Simplifying
w = 3