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Simplifying -4(w + 2) = -32 Reorder the terms: -4(2 + w) = -32 (2 * -4 + w * -4) = -32 (-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 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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