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Simplifying 8(w + 2) = -32 Reorder the terms: 8(2 + w) = -32 (2 * 8 + w * 8) = -32 (16 + 8w) = -32 Solving 16 + 8w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8w = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 8w = -32 + -16 8w = -32 + -16 Combine like terms: -32 + -16 = -48 8w = -48 Divide each side by '8'. w = -6 Simplifying w = -6
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