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Simplifying 5w + 9 = 17w + -4w + 81 Reorder the terms: 9 + 5w = 17w + -4w + 81 Reorder the terms: 9 + 5w = 81 + 17w + -4w Combine like terms: 17w + -4w = 13w 9 + 5w = 81 + 13w Solving 9 + 5w = 81 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 9 + 5w + -13w = 81 + 13w + -13w Combine like terms: 5w + -13w = -8w 9 + -8w = 81 + 13w + -13w Combine like terms: 13w + -13w = 0 9 + -8w = 81 + 0 9 + -8w = 81 Add '-9' to each side of the equation. 9 + -9 + -8w = 81 + -9 Combine like terms: 9 + -9 = 0 0 + -8w = 81 + -9 -8w = 81 + -9 Combine like terms: 81 + -9 = 72 -8w = 72 Divide each side by '-8'. w = -9 Simplifying w = -9
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