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Simplifying -5(w + 4) + 8 = -32 Reorder the terms: -5(4 + w) + 8 = -32 (4 * -5 + w * -5) + 8 = -32 (-20 + -5w) + 8 = -32 Reorder the terms: -20 + 8 + -5w = -32 Combine like terms: -20 + 8 = -12 -12 + -5w = -32 Solving -12 + -5w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5w = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = -32 + 12 -5w = -32 + 12 Combine like terms: -32 + 12 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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