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Simplifying 4w + 4(w + 8) = -32 Reorder the terms: 4w + 4(8 + w) = -32 4w + (8 * 4 + w * 4) = -32 4w + (32 + 4w) = -32 Reorder the terms: 32 + 4w + 4w = -32 Combine like terms: 4w + 4w = 8w 32 + 8w = -32 Solving 32 + 8w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8w = -32 + -32 Combine like terms: 32 + -32 = 0 0 + 8w = -32 + -32 8w = -32 + -32 Combine like terms: -32 + -32 = -64 8w = -64 Divide each side by '8'. w = -8 Simplifying w = -8
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