w-8+2(2w+8)=-7(w+1)

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Solution for w-8+2(2w+8)=-7(w+1) equation:


Simplifying
w + -8 + 2(2w + 8) = -7(w + 1)

Reorder the terms:
w + -8 + 2(8 + 2w) = -7(w + 1)
w + -8 + (8 * 2 + 2w * 2) = -7(w + 1)
w + -8 + (16 + 4w) = -7(w + 1)

Reorder the terms:
-8 + 16 + w + 4w = -7(w + 1)

Combine like terms: -8 + 16 = 8
8 + w + 4w = -7(w + 1)

Combine like terms: w + 4w = 5w
8 + 5w = -7(w + 1)

Reorder the terms:
8 + 5w = -7(1 + w)
8 + 5w = (1 * -7 + w * -7)
8 + 5w = (-7 + -7w)

Solving
8 + 5w = -7 + -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.
8 + 5w + 7w = -7 + -7w + 7w

Combine like terms: 5w + 7w = 12w
8 + 12w = -7 + -7w + 7w

Combine like terms: -7w + 7w = 0
8 + 12w = -7 + 0
8 + 12w = -7

Add '-8' to each side of the equation.
8 + -8 + 12w = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 12w = -7 + -8
12w = -7 + -8

Combine like terms: -7 + -8 = -15
12w = -15

Divide each side by '12'.
w = -1.25

Simplifying
w = -1.25

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