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Simplifying -7w + 49 = 9(w + 9) Reorder the terms: 49 + -7w = 9(w + 9) Reorder the terms: 49 + -7w = 9(9 + w) 49 + -7w = (9 * 9 + w * 9) 49 + -7w = (81 + 9w) Solving 49 + -7w = 81 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 49 + -7w + -9w = 81 + 9w + -9w Combine like terms: -7w + -9w = -16w 49 + -16w = 81 + 9w + -9w Combine like terms: 9w + -9w = 0 49 + -16w = 81 + 0 49 + -16w = 81 Add '-49' to each side of the equation. 49 + -49 + -16w = 81 + -49 Combine like terms: 49 + -49 = 0 0 + -16w = 81 + -49 -16w = 81 + -49 Combine like terms: 81 + -49 = 32 -16w = 32 Divide each side by '-16'. w = -2 Simplifying w = -2
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