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Simplifying -5(w + -6) = 4w + 48 Reorder the terms: -5(-6 + w) = 4w + 48 (-6 * -5 + w * -5) = 4w + 48 (30 + -5w) = 4w + 48 Reorder the terms: 30 + -5w = 48 + 4w Solving 30 + -5w = 48 + 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 = 48 + 4w + -4w Combine like terms: -5w + -4w = -9w 30 + -9w = 48 + 4w + -4w Combine like terms: 4w + -4w = 0 30 + -9w = 48 + 0 30 + -9w = 48 Add '-30' to each side of the equation. 30 + -30 + -9w = 48 + -30 Combine like terms: 30 + -30 = 0 0 + -9w = 48 + -30 -9w = 48 + -30 Combine like terms: 48 + -30 = 18 -9w = 18 Divide each side by '-9'. w = -2 Simplifying w = -2
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