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Simplifying 5(w + -7) = 15 + 10w Reorder the terms: 5(-7 + w) = 15 + 10w (-7 * 5 + w * 5) = 15 + 10w (-35 + 5w) = 15 + 10w Solving -35 + 5w = 15 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -35 + 5w + -10w = 15 + 10w + -10w Combine like terms: 5w + -10w = -5w -35 + -5w = 15 + 10w + -10w Combine like terms: 10w + -10w = 0 -35 + -5w = 15 + 0 -35 + -5w = 15 Add '35' to each side of the equation. -35 + 35 + -5w = 15 + 35 Combine like terms: -35 + 35 = 0 0 + -5w = 15 + 35 -5w = 15 + 35 Combine like terms: 15 + 35 = 50 -5w = 50 Divide each side by '-5'. w = -10 Simplifying w = -10
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