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Simplifying 15 = 12 + 5w + -4w Combine like terms: 5w + -4w = 1w 15 = 12 + 1w Solving 15 = 12 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 15 + -1w = 12 + 1w + -1w Combine like terms: 1w + -1w = 0 15 + -1w = 12 + 0 15 + -1w = 12 Add '-15' to each side of the equation. 15 + -15 + -1w = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 12 + -15 -1w = 12 + -15 Combine like terms: 12 + -15 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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