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Simplifying -13 + 9w + 5 = -5w + -72 + -2w Reorder the terms: -13 + 5 + 9w = -5w + -72 + -2w Combine like terms: -13 + 5 = -8 -8 + 9w = -5w + -72 + -2w Reorder the terms: -8 + 9w = -72 + -5w + -2w Combine like terms: -5w + -2w = -7w -8 + 9w = -72 + -7w Solving -8 + 9w = -72 + -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. -8 + 9w + 7w = -72 + -7w + 7w Combine like terms: 9w + 7w = 16w -8 + 16w = -72 + -7w + 7w Combine like terms: -7w + 7w = 0 -8 + 16w = -72 + 0 -8 + 16w = -72 Add '8' to each side of the equation. -8 + 8 + 16w = -72 + 8 Combine like terms: -8 + 8 = 0 0 + 16w = -72 + 8 16w = -72 + 8 Combine like terms: -72 + 8 = -64 16w = -64 Divide each side by '16'. w = -4 Simplifying w = -4
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