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Simplifying 20 = 4(w + 6) + -8w Reorder the terms: 20 = 4(6 + w) + -8w 20 = (6 * 4 + w * 4) + -8w 20 = (24 + 4w) + -8w Combine like terms: 4w + -8w = -4w 20 = 24 + -4w Solving 20 = 24 + -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. 20 + 4w = 24 + -4w + 4w Combine like terms: -4w + 4w = 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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