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Simplifying -9(w + 8) = 8w + 13 Reorder the terms: -9(8 + w) = 8w + 13 (8 * -9 + w * -9) = 8w + 13 (-72 + -9w) = 8w + 13 Reorder the terms: -72 + -9w = 13 + 8w Solving -72 + -9w = 13 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -72 + -9w + -8w = 13 + 8w + -8w Combine like terms: -9w + -8w = -17w -72 + -17w = 13 + 8w + -8w Combine like terms: 8w + -8w = 0 -72 + -17w = 13 + 0 -72 + -17w = 13 Add '72' to each side of the equation. -72 + 72 + -17w = 13 + 72 Combine like terms: -72 + 72 = 0 0 + -17w = 13 + 72 -17w = 13 + 72 Combine like terms: 13 + 72 = 85 -17w = 85 Divide each side by '-17'. w = -5 Simplifying w = -5
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