-9=8w+5(w+6)

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Solution for -9=8w+5(w+6) equation:


Simplifying
-9 = 8w + 5(w + 6)

Reorder the terms:
-9 = 8w + 5(6 + w)
-9 = 8w + (6 * 5 + w * 5)
-9 = 8w + (30 + 5w)

Reorder the terms:
-9 = 30 + 8w + 5w

Combine like terms: 8w + 5w = 13w
-9 = 30 + 13w

Solving
-9 = 30 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
-9 + -13w = 30 + 13w + -13w

Combine like terms: 13w + -13w = 0
-9 + -13w = 30 + 0
-9 + -13w = 30

Add '9' to each side of the equation.
-9 + 9 + -13w = 30 + 9

Combine like terms: -9 + 9 = 0
0 + -13w = 30 + 9
-13w = 30 + 9

Combine like terms: 30 + 9 = 39
-13w = 39

Divide each side by '-13'.
w = -3

Simplifying
w = -3

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