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Simplifying 9(w + -1) + 7w = 5(w + 7) Reorder the terms: 9(-1 + w) + 7w = 5(w + 7) (-1 * 9 + w * 9) + 7w = 5(w + 7) (-9 + 9w) + 7w = 5(w + 7) Combine like terms: 9w + 7w = 16w -9 + 16w = 5(w + 7) Reorder the terms: -9 + 16w = 5(7 + w) -9 + 16w = (7 * 5 + w * 5) -9 + 16w = (35 + 5w) Solving -9 + 16w = 35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -9 + 16w + -5w = 35 + 5w + -5w Combine like terms: 16w + -5w = 11w -9 + 11w = 35 + 5w + -5w Combine like terms: 5w + -5w = 0 -9 + 11w = 35 + 0 -9 + 11w = 35 Add '9' to each side of the equation. -9 + 9 + 11w = 35 + 9 Combine like terms: -9 + 9 = 0 0 + 11w = 35 + 9 11w = 35 + 9 Combine like terms: 35 + 9 = 44 11w = 44 Divide each side by '11'. w = 4 Simplifying w = 4
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