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Simplifying 4(w + 8) = -9w + -20 Reorder the terms: 4(8 + w) = -9w + -20 (8 * 4 + w * 4) = -9w + -20 (32 + 4w) = -9w + -20 Reorder the terms: 32 + 4w = -20 + -9w Solving 32 + 4w = -20 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 32 + 4w + 9w = -20 + -9w + 9w Combine like terms: 4w + 9w = 13w 32 + 13w = -20 + -9w + 9w Combine like terms: -9w + 9w = 0 32 + 13w = -20 + 0 32 + 13w = -20 Add '-32' to each side of the equation. 32 + -32 + 13w = -20 + -32 Combine like terms: 32 + -32 = 0 0 + 13w = -20 + -32 13w = -20 + -32 Combine like terms: -20 + -32 = -52 13w = -52 Divide each side by '13'. w = -4 Simplifying w = -4
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