9[w+8]=-7w-24

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Solution for 9[w+8]=-7w-24 equation: 


Simplifying
9[w + 8] = -7w + -24

Reorder the terms:
9[8 + w] = -7w + -24
[8 * 9 + w * 9] = -7w + -24
[72 + 9w] = -7w + -24

Reorder the terms:
72 + 9w = -24 + -7w

Solving
72 + 9w = -24 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
72 + 9w + 7w = -24 + -7w + 7w

Combine like terms: 9w + 7w = 16w
72 + 16w = -24 + -7w + 7w

Combine like terms: -7w + 7w = 0
72 + 16w = -24 + 0
72 + 16w = -24

Add '-72' to each side of the equation.
72 + -72 + 16w = -24 + -72

Combine like terms: 72 + -72 = 0
0 + 16w = -24 + -72
16w = -24 + -72

Combine like terms: -24 + -72 = -96
16w = -96

Divide each side by '16'.
w = -6

Simplifying
w = -6

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