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Simplifying 15 + -2w = w + 12w Combine like terms: w + 12w = 13w 15 + -2w = 13w Solving 15 + -2w = 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 15 + -2w + -13w = 13w + -13w Combine like terms: -2w + -13w = -15w 15 + -15w = 13w + -13w Combine like terms: 13w + -13w = 0 15 + -15w = 0 Add '-15' to each side of the equation. 15 + -15 + -15w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -15w = 0 + -15 -15w = 0 + -15 Combine like terms: 0 + -15 = -15 -15w = -15 Divide each side by '-15'. w = 1 Simplifying w = 1
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