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Simplifying 15 + 2w = 3w + -15 Reorder the terms: 15 + 2w = -15 + 3w Solving 15 + 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. 15 + 2w + -3w = -15 + 3w + -3w Combine like terms: 2w + -3w = -1w 15 + -1w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + -1w = -15 + 0 15 + -1w = -15 Add '-15' to each side of the equation. 15 + -15 + -1w = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = -15 + -15 -1w = -15 + -15 Combine like terms: -15 + -15 = -30 -1w = -30 Divide each side by '-1'. w = 30 Simplifying w = 30
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