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