-2w+8=-7(w-4)

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Solution for -2w+8=-7(w-4) equation: 


Simplifying
-2w + 8 = -7(w + -4)

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

Reorder the terms:
8 + -2w = -7(-4 + w)
8 + -2w = (-4 * -7 + w * -7)
8 + -2w = (28 + -7w)

Solving
8 + -2w = 28 + -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 + -2w + 7w = 28 + -7w + 7w

Combine like terms: -2w + 7w = 5w
8 + 5w = 28 + -7w + 7w

Combine like terms: -7w + 7w = 0
8 + 5w = 28 + 0
8 + 5w = 28

Add '-8' to each side of the equation.
8 + -8 + 5w = 28 + -8

Combine like terms: 8 + -8 = 0
0 + 5w = 28 + -8
5w = 28 + -8

Combine like terms: 28 + -8 = 20
5w = 20

Divide each side by '5'.
w = 4

Simplifying
w = 4

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