-3(w+5)-(-9w-9)=5w

Solution for -3(w+5)-(-9w-9)=5w equation:

Simplifying
-3(w + 5) + -1(-9w + -9) = 5w

Reorder the terms:
-3(5 + w) + -1(-9w + -9) = 5w
(5 * -3 + w * -3) + -1(-9w + -9) = 5w
(-15 + -3w) + -1(-9w + -9) = 5w

Reorder the terms:
-15 + -3w + -1(-9 + -9w) = 5w
-15 + -3w + (-9 * -1 + -9w * -1) = 5w
-15 + -3w + (9 + 9w) = 5w

Reorder the terms:
-15 + 9 + -3w + 9w = 5w

Combine like terms: -15 + 9 = -6
-6 + -3w + 9w = 5w

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

Solving
-6 + 6w = 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.
-6 + 6w + -5w = 5w + -5w

Combine like terms: 6w + -5w = 1w
-6 + 1w = 5w + -5w

Combine like terms: 5w + -5w = 0
-6 + 1w = 0

Add '6' to each side of the equation.
-6 + 6 + 1w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1w = 0 + 6
1w = 0 + 6

Combine like terms: 0 + 6 = 6
1w = 6

Divide each side by '1'.
w = 6

Simplifying
w = 6