-7(w-8)=8w+26

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Solution for -7(w-8)=8w+26 equation:


Simplifying
-7(w + -8) = 8w + 26

Reorder the terms:
-7(-8 + w) = 8w + 26
(-8 * -7 + w * -7) = 8w + 26
(56 + -7w) = 8w + 26

Reorder the terms:
56 + -7w = 26 + 8w

Solving
56 + -7w = 26 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
56 + -7w + -8w = 26 + 8w + -8w

Combine like terms: -7w + -8w = -15w
56 + -15w = 26 + 8w + -8w

Combine like terms: 8w + -8w = 0
56 + -15w = 26 + 0
56 + -15w = 26

Add '-56' to each side of the equation.
56 + -56 + -15w = 26 + -56

Combine like terms: 56 + -56 = 0
0 + -15w = 26 + -56
-15w = 26 + -56

Combine like terms: 26 + -56 = -30
-15w = -30

Divide each side by '-15'.
w = 2

Simplifying
w = 2

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