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

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


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

Reorder the terms:
-26 = 8w + 7(7 + w)
-26 = 8w + (7 * 7 + w * 7)
-26 = 8w + (49 + 7w)

Reorder the terms:
-26 = 49 + 8w + 7w

Combine like terms: 8w + 7w = 15w
-26 = 49 + 15w

Solving
-26 = 49 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
-26 + -15w = 49 + 15w + -15w

Combine like terms: 15w + -15w = 0
-26 + -15w = 49 + 0
-26 + -15w = 49

Add '26' to each side of the equation.
-26 + 26 + -15w = 49 + 26

Combine like terms: -26 + 26 = 0
0 + -15w = 49 + 26
-15w = 49 + 26

Combine like terms: 49 + 26 = 75
-15w = 75

Divide each side by '-15'.
w = -5

Simplifying
w = -5

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