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Simplifying -8w + 2(w + 2) = -32 Reorder the terms: -8w + 2(2 + w) = -32 -8w + (2 * 2 + w * 2) = -32 -8w + (4 + 2w) = -32 Reorder the terms: 4 + -8w + 2w = -32 Combine like terms: -8w + 2w = -6w 4 + -6w = -32 Solving 4 + -6w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -6w = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = -32 + -4 -6w = -32 + -4 Combine like terms: -32 + -4 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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