8w+46=-2(w-8)

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Solution for 8w+46=-2(w-8) equation:


Simplifying
8w + 46 = -2(w + -8)

Reorder the terms:
46 + 8w = -2(w + -8)

Reorder the terms:
46 + 8w = -2(-8 + w)
46 + 8w = (-8 * -2 + w * -2)
46 + 8w = (16 + -2w)

Solving
46 + 8w = 16 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
46 + 8w + 2w = 16 + -2w + 2w

Combine like terms: 8w + 2w = 10w
46 + 10w = 16 + -2w + 2w

Combine like terms: -2w + 2w = 0
46 + 10w = 16 + 0
46 + 10w = 16

Add '-46' to each side of the equation.
46 + -46 + 10w = 16 + -46

Combine like terms: 46 + -46 = 0
0 + 10w = 16 + -46
10w = 16 + -46

Combine like terms: 16 + -46 = -30
10w = -30

Divide each side by '10'.
w = -3

Simplifying
w = -3

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