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Simplifying -9w + 24 = 7(w + 8) Reorder the terms: 24 + -9w = 7(w + 8) Reorder the terms: 24 + -9w = 7(8 + w) 24 + -9w = (8 * 7 + w * 7) 24 + -9w = (56 + 7w) Solving 24 + -9w = 56 + 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. 24 + -9w + -7w = 56 + 7w + -7w Combine like terms: -9w + -7w = -16w 24 + -16w = 56 + 7w + -7w Combine like terms: 7w + -7w = 0 24 + -16w = 56 + 0 24 + -16w = 56 Add '-24' to each side of the equation. 24 + -24 + -16w = 56 + -24 Combine like terms: 24 + -24 = 0 0 + -16w = 56 + -24 -16w = 56 + -24 Combine like terms: 56 + -24 = 32 -16w = 32 Divide each side by '-16'. w = -2 Simplifying w = -2
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