32=5w+7(1[w+8]1)

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Solution for 32=5w+7(1[w+8]1) equation: 


Simplifying
32 = 5w + 7(1[w + 8] * 1)

Reorder the terms:
32 = 5w + 7(1[8 + w] * 1)

Reorder the terms for easier multiplication:
32 = 5w + 7(1 * 1[8 + w])

Multiply 1 * 1
32 = 5w + 7(1[8 + w])
32 = 5w + 7([8 * 1 + w * 1])
32 = 5w + 7([8 + 1w])
32 = 5w + (8 * 7 + 1w * 7)
32 = 5w + (56 + 7w)

Reorder the terms:
32 = 56 + 5w + 7w

Combine like terms: 5w + 7w = 12w
32 = 56 + 12w

Solving
32 = 56 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
32 + -12w = 56 + 12w + -12w

Combine like terms: 12w + -12w = 0
32 + -12w = 56 + 0
32 + -12w = 56

Add '-32' to each side of the equation.
32 + -32 + -12w = 56 + -32

Combine like terms: 32 + -32 = 0
0 + -12w = 56 + -32
-12w = 56 + -32

Combine like terms: 56 + -32 = 24
-12w = 24

Divide each side by '-12'.
w = -2

Simplifying
w = -2

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