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Simplifying -4(w + 5) = 5w + 16 Reorder the terms: -4(5 + w) = 5w + 16 (5 * -4 + w * -4) = 5w + 16 (-20 + -4w) = 5w + 16 Reorder the terms: -20 + -4w = 16 + 5w Solving -20 + -4w = 16 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -20 + -4w + -5w = 16 + 5w + -5w Combine like terms: -4w + -5w = -9w -20 + -9w = 16 + 5w + -5w Combine like terms: 5w + -5w = 0 -20 + -9w = 16 + 0 -20 + -9w = 16 Add '20' to each side of the equation. -20 + 20 + -9w = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -9w = 16 + 20 -9w = 16 + 20 Combine like terms: 16 + 20 = 36 -9w = 36 Divide each side by '-9'. w = -4 Simplifying w = -4
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