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Simplifying -2(w + -2) = -8 + 40 Reorder the terms: -2(-2 + w) = -8 + 40 (-2 * -2 + w * -2) = -8 + 40 (4 + -2w) = -8 + 40 Combine like terms: -8 + 40 = 32 4 + -2w = 32 Solving 4 + -2w = 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 + -2w = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -2w = 32 + -4 -2w = 32 + -4 Combine like terms: 32 + -4 = 28 -2w = 28 Divide each side by '-2'. w = -14 Simplifying w = -14
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