(W+3)+(w)+(w+4)=32(w+3)

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Solution for (W+3)+(w)+(w+4)=32(w+3) equation:


Simplifying
(W + 3) + (w) + (w + 4) = 32(w + 3)

Reorder the terms:
(3 + W) + (w) + (w + 4) = 32(w + 3)

Remove parenthesis around (3 + W)
3 + W + (w) + (w + 4) = 32(w + 3)
3 + W + w + (w + 4) = 32(w + 3)

Reorder the terms:
3 + W + w + (4 + w) = 32(w + 3)

Remove parenthesis around (4 + w)
3 + W + w + 4 + w = 32(w + 3)

Reorder the terms:
3 + 4 + W + w + w = 32(w + 3)

Combine like terms: 3 + 4 = 7
7 + W + w + w = 32(w + 3)

Combine like terms: w + w = 2w
7 + W + 2w = 32(w + 3)

Reorder the terms:
7 + W + 2w = 32(3 + w)
7 + W + 2w = (3 * 32 + w * 32)
7 + W + 2w = (96 + 32w)

Solving
7 + W + 2w = 96 + 32w

Solving for variable 'W'.

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

Add '-7' to each side of the equation.
7 + W + -7 + 2w = 96 + -7 + 32w

Reorder the terms:
7 + -7 + W + 2w = 96 + -7 + 32w

Combine like terms: 7 + -7 = 0
0 + W + 2w = 96 + -7 + 32w
W + 2w = 96 + -7 + 32w

Combine like terms: 96 + -7 = 89
W + 2w = 89 + 32w

Add '-2w' to each side of the equation.
W + 2w + -2w = 89 + 32w + -2w

Combine like terms: 2w + -2w = 0
W + 0 = 89 + 32w + -2w
W = 89 + 32w + -2w

Combine like terms: 32w + -2w = 30w
W = 89 + 30w

Simplifying
W = 89 + 30w

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