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Simplifying -9(w + -9) = 7w + -15 Reorder the terms: -9(-9 + w) = 7w + -15 (-9 * -9 + w * -9) = 7w + -15 (81 + -9w) = 7w + -15 Reorder the terms: 81 + -9w = -15 + 7w Solving 81 + -9w = -15 + 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. 81 + -9w + -7w = -15 + 7w + -7w Combine like terms: -9w + -7w = -16w 81 + -16w = -15 + 7w + -7w Combine like terms: 7w + -7w = 0 81 + -16w = -15 + 0 81 + -16w = -15 Add '-81' to each side of the equation. 81 + -81 + -16w = -15 + -81 Combine like terms: 81 + -81 = 0 0 + -16w = -15 + -81 -16w = -15 + -81 Combine like terms: -15 + -81 = -96 -16w = -96 Divide each side by '-16'. w = 6 Simplifying w = 6
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