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Simplifying 15 = w + 2w + (2w + -5) Reorder the terms: 15 = w + 2w + (-5 + 2w) Remove parenthesis around (-5 + 2w) 15 = w + 2w + -5 + 2w Reorder the terms: 15 = -5 + w + 2w + 2w Combine like terms: w + 2w = 3w 15 = -5 + 3w + 2w Combine like terms: 3w + 2w = 5w 15 = -5 + 5w Solving 15 = -5 + 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 = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 15 + -5w = -5 + 0 15 + -5w = -5 Add '-15' to each side of the equation. 15 + -15 + -5w = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = -5 + -15 -5w = -5 + -15 Combine like terms: -5 + -15 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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