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Simplifying 2(w + -2) + 2w = -32 Reorder the terms: 2(-2 + w) + 2w = -32 (-2 * 2 + w * 2) + 2w = -32 (-4 + 2w) + 2w = -32 Combine like terms: 2w + 2w = 4w -4 + 4w = -32 Solving -4 + 4w = -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 + 4w = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 4w = -32 + 4 4w = -32 + 4 Combine like terms: -32 + 4 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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