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Simplifying -15 = 5(w + 6) + 4w Reorder the terms: -15 = 5(6 + w) + 4w -15 = (6 * 5 + w * 5) + 4w -15 = (30 + 5w) + 4w Combine like terms: 5w + 4w = 9w -15 = 30 + 9w Solving -15 = 30 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + -9w = 30 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -9w = 30 + 0 -15 + -9w = 30 Add '15' to each side of the equation. -15 + 15 + -9w = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -9w = 30 + 15 -9w = 30 + 15 Combine like terms: 30 + 15 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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