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Simplifying 5w + 9 = 8w + 15 Reorder the terms: 9 + 5w = 8w + 15 Reorder the terms: 9 + 5w = 15 + 8w Solving 9 + 5w = 15 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 9 + 5w + -8w = 15 + 8w + -8w Combine like terms: 5w + -8w = -3w 9 + -3w = 15 + 8w + -8w Combine like terms: 8w + -8w = 0 9 + -3w = 15 + 0 9 + -3w = 15 Add '-9' to each side of the equation. 9 + -9 + -3w = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = 15 + -9 -3w = 15 + -9 Combine like terms: 15 + -9 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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