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Simplifying 5(1 + -1w) + 8w = 15 (1 * 5 + -1w * 5) + 8w = 15 (5 + -5w) + 8w = 15 Combine like terms: -5w + 8w = 3w 5 + 3w = 15 Solving 5 + 3w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 15 + -5 3w = 15 + -5 Combine like terms: 15 + -5 = 10 3w = 10 Divide each side by '3'. w = 3.333333333 Simplifying w = 3.333333333
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