8w+16=-4(w-7)

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Solution for 8w+16=-4(w-7) equation: 


Simplifying
8w + 16 = -4(w + -7)

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

Reorder the terms:
16 + 8w = -4(-7 + w)
16 + 8w = (-7 * -4 + w * -4)
16 + 8w = (28 + -4w)

Solving
16 + 8w = 28 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
16 + 8w + 4w = 28 + -4w + 4w

Combine like terms: 8w + 4w = 12w
16 + 12w = 28 + -4w + 4w

Combine like terms: -4w + 4w = 0
16 + 12w = 28 + 0
16 + 12w = 28

Add '-16' to each side of the equation.
16 + -16 + 12w = 28 + -16

Combine like terms: 16 + -16 = 0
0 + 12w = 28 + -16
12w = 28 + -16

Combine like terms: 28 + -16 = 12
12w = 12

Divide each side by '12'.
w = 1

Simplifying
w = 1

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