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Simplifying 5w + 9 = 2w + -15 Reorder the terms: 9 + 5w = 2w + -15 Reorder the terms: 9 + 5w = -15 + 2w Solving 9 + 5w = -15 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 9 + 5w + -2w = -15 + 2w + -2w Combine like terms: 5w + -2w = 3w 9 + 3w = -15 + 2w + -2w Combine like terms: 2w + -2w = 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 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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