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Simplifying 20 = -8w + 6(w + 6) Reorder the terms: 20 = -8w + 6(6 + w) 20 = -8w + (6 * 6 + w * 6) 20 = -8w + (36 + 6w) Reorder the terms: 20 = 36 + -8w + 6w Combine like terms: -8w + 6w = -2w 20 = 36 + -2w Solving 20 = 36 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 20 + 2w = 36 + -2w + 2w Combine like terms: -2w + 2w = 0 20 + 2w = 36 + 0 20 + 2w = 36 Add '-20' to each side of the equation. 20 + -20 + 2w = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 36 + -20 2w = 36 + -20 Combine like terms: 36 + -20 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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