13+4w=-5(-w-6)+2(w+1)

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Solution for 13+4w=-5(-w-6)+2(w+1) equation: 


Simplifying
13 + 4w = -5(-1w + -6) + 2(w + 1)

Reorder the terms:
13 + 4w = -5(-6 + -1w) + 2(w + 1)
13 + 4w = (-6 * -5 + -1w * -5) + 2(w + 1)
13 + 4w = (30 + 5w) + 2(w + 1)

Reorder the terms:
13 + 4w = 30 + 5w + 2(1 + w)
13 + 4w = 30 + 5w + (1 * 2 + w * 2)
13 + 4w = 30 + 5w + (2 + 2w)

Reorder the terms:
13 + 4w = 30 + 2 + 5w + 2w

Combine like terms: 30 + 2 = 32
13 + 4w = 32 + 5w + 2w

Combine like terms: 5w + 2w = 7w
13 + 4w = 32 + 7w

Solving
13 + 4w = 32 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
13 + 4w + -7w = 32 + 7w + -7w

Combine like terms: 4w + -7w = -3w
13 + -3w = 32 + 7w + -7w

Combine like terms: 7w + -7w = 0
13 + -3w = 32 + 0
13 + -3w = 32

Add '-13' to each side of the equation.
13 + -13 + -3w = 32 + -13

Combine like terms: 13 + -13 = 0
0 + -3w = 32 + -13
-3w = 32 + -13

Combine like terms: 32 + -13 = 19
-3w = 19

Divide each side by '-3'.
w = -6.333333333

Simplifying
w = -6.333333333

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