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Simplifying -15 = 5(w + -6) + -8w Reorder the terms: -15 = 5(-6 + w) + -8w -15 = (-6 * 5 + w * 5) + -8w -15 = (-30 + 5w) + -8w Combine like terms: 5w + -8w = -3w -15 = -30 + -3w Solving -15 = -30 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -15 + 3w = -30 + -3w + 3w Combine like terms: -3w + 3w = 0 -15 + 3w = -30 + 0 -15 + 3w = -30 Add '15' to each side of the equation. -15 + 15 + 3w = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = -30 + 15 3w = -30 + 15 Combine like terms: -30 + 15 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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