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Simplifying 4(w + 8) = -8w + 20 Reorder the terms: 4(8 + w) = -8w + 20 (8 * 4 + w * 4) = -8w + 20 (32 + 4w) = -8w + 20 Reorder the terms: 32 + 4w = 20 + -8w Solving 32 + 4w = 20 + -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. 32 + 4w + 8w = 20 + -8w + 8w Combine like terms: 4w + 8w = 12w 32 + 12w = 20 + -8w + 8w Combine like terms: -8w + 8w = 0 32 + 12w = 20 + 0 32 + 12w = 20 Add '-32' to each side of the equation. 32 + -32 + 12w = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 12w = 20 + -32 12w = 20 + -32 Combine like terms: 20 + -32 = -12 12w = -12 Divide each side by '12'. w = -1 Simplifying w = -1
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