7(w+8)=2w+26

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Solution for 7(w+8)=2w+26 equation:


Simplifying
7(w + 8) = 2w + 26

Reorder the terms:
7(8 + w) = 2w + 26
(8 * 7 + w * 7) = 2w + 26
(56 + 7w) = 2w + 26

Reorder the terms:
56 + 7w = 26 + 2w

Solving
56 + 7w = 26 + 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.
56 + 7w + -2w = 26 + 2w + -2w

Combine like terms: 7w + -2w = 5w
56 + 5w = 26 + 2w + -2w

Combine like terms: 2w + -2w = 0
56 + 5w = 26 + 0
56 + 5w = 26

Add '-56' to each side of the equation.
56 + -56 + 5w = 26 + -56

Combine like terms: 56 + -56 = 0
0 + 5w = 26 + -56
5w = 26 + -56

Combine like terms: 26 + -56 = -30
5w = -30

Divide each side by '5'.
w = -6

Simplifying
w = -6

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