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Simplifying 15 = 2(w + -5) + -7w Reorder the terms: 15 = 2(-5 + w) + -7w 15 = (-5 * 2 + w * 2) + -7w 15 = (-10 + 2w) + -7w Combine like terms: 2w + -7w = -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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