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Simplifying 5w + 9 = 17w + 81 Reorder the terms: 9 + 5w = 17w + 81 Reorder the terms: 9 + 5w = 81 + 17w Solving 9 + 5w = 81 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. 9 + 5w + -17w = 81 + 17w + -17w Combine like terms: 5w + -17w = -12w 9 + -12w = 81 + 17w + -17w Combine like terms: 17w + -17w = 0 9 + -12w = 81 + 0 9 + -12w = 81 Add '-9' to each side of the equation. 9 + -9 + -12w = 81 + -9 Combine like terms: 9 + -9 = 0 0 + -12w = 81 + -9 -12w = 81 + -9 Combine like terms: 81 + -9 = 72 -12w = 72 Divide each side by '-12'. w = -6 Simplifying w = -6
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