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Simplifying -9(w + 9) = 7w + -1 Reorder the terms: -9(9 + w) = 7w + -1 (9 * -9 + w * -9) = 7w + -1 (-81 + -9w) = 7w + -1 Reorder the terms: -81 + -9w = -1 + 7w Solving -81 + -9w = -1 + 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 = -1 + 7w + -7w Combine like terms: -9w + -7w = -16w -81 + -16w = -1 + 7w + -7w Combine like terms: 7w + -7w = 0 -81 + -16w = -1 + 0 -81 + -16w = -1 Add '81' to each side of the equation. -81 + 81 + -16w = -1 + 81 Combine like terms: -81 + 81 = 0 0 + -16w = -1 + 81 -16w = -1 + 81 Combine like terms: -1 + 81 = 80 -16w = 80 Divide each side by '-16'. w = -5 Simplifying w = -5
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