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Simplifying 3(5 + -8W) = 5(w + 2) * 5 (5 * 3 + -8W * 3) = 5(w + 2) * 5 (15 + -24W) = 5(w + 2) * 5 Reorder the terms: 15 + -24W = 5(2 + w) * 5 Reorder the terms for easier multiplication: 15 + -24W = 5 * 5(2 + w) Multiply 5 * 5 15 + -24W = 25(2 + w) 15 + -24W = (2 * 25 + w * 25) 15 + -24W = (50 + 25w) Solving 15 + -24W = 50 + 25w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -24W = 50 + -15 + 25w Combine like terms: 15 + -15 = 0 0 + -24W = 50 + -15 + 25w -24W = 50 + -15 + 25w Combine like terms: 50 + -15 = 35 -24W = 35 + 25w Divide each side by '-24'. W = -1.458333333 + -1.041666667w Simplifying W = -1.458333333 + -1.041666667w
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