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Simplifying 4(w + 5) = 8w + 24 Reorder the terms: 4(5 + w) = 8w + 24 (5 * 4 + w * 4) = 8w + 24 (20 + 4w) = 8w + 24 Reorder the terms: 20 + 4w = 24 + 8w Solving 20 + 4w = 24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 20 + 4w + -8w = 24 + 8w + -8w Combine like terms: 4w + -8w = -4w 20 + -4w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 20 + -4w = 24 + 0 20 + -4w = 24 Add '-20' to each side of the equation. 20 + -20 + -4w = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -4w = 24 + -20 -4w = 24 + -20 Combine like terms: 24 + -20 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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