8(w+5)-(-8w-4)=15w

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Solution for 8(w+5)-(-8w-4)=15w equation: 


Simplifying
8(w + 5) + -1(-8w + -4) = 15w

Reorder the terms:
8(5 + w) + -1(-8w + -4) = 15w
(5 * 8 + w * 8) + -1(-8w + -4) = 15w
(40 + 8w) + -1(-8w + -4) = 15w

Reorder the terms:
40 + 8w + -1(-4 + -8w) = 15w
40 + 8w + (-4 * -1 + -8w * -1) = 15w
40 + 8w + (4 + 8w) = 15w

Reorder the terms:
40 + 4 + 8w + 8w = 15w

Combine like terms: 40 + 4 = 44
44 + 8w + 8w = 15w

Combine like terms: 8w + 8w = 16w
44 + 16w = 15w

Solving
44 + 16w = 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
44 + 16w + -15w = 15w + -15w

Combine like terms: 16w + -15w = 1w
44 + 1w = 15w + -15w

Combine like terms: 15w + -15w = 0
44 + 1w = 0

Add '-44' to each side of the equation.
44 + -44 + 1w = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 1w = 0 + -44
1w = 0 + -44

Combine like terms: 0 + -44 = -44
1w = -44

Divide each side by '1'.
w = -44

Simplifying
w = -44

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