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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 = -48 -16w = -48 Divide each side by '-16'. w = 3 Simplifying w = 3
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