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Simplifying 15 = 1.5w + -10 + 2.5w + w Reorder the terms: 15 = -10 + 1.5w + 2.5w + w Combine like terms: 1.5w + 2.5w = 4w 15 = -10 + 4w + w Combine like terms: 4w + w = 5w 15 = -10 + 5w Solving 15 = -10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 15 + -5w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 15 + -5w = -10 + 0 15 + -5w = -10 Add '-15' to each side of the equation. 15 + -15 + -5w = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = -10 + -15 -5w = -10 + -15 Combine like terms: -10 + -15 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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