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Simplifying 9 + 2w = 3w + 15 Reorder the terms: 9 + 2w = 15 + 3w Solving 9 + 2w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 9 + 2w + -3w = 15 + 3w + -3w Combine like terms: 2w + -3w = -1w 9 + -1w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + -1w = 15 + 0 9 + -1w = 15 Add '-9' to each side of the equation. 9 + -9 + -1w = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 15 + -9 -1w = 15 + -9 Combine like terms: 15 + -9 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6
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