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Simplifying 4(w + 2) + -8w = -32 Reorder the terms: 4(2 + w) + -8w = -32 (2 * 4 + w * 4) + -8w = -32 (8 + 4w) + -8w = -32 Combine like terms: 4w + -8w = -4w 8 + -4w = -32 Solving 8 + -4w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4w = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = -32 + -8 -4w = -32 + -8 Combine like terms: -32 + -8 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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