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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 Reorder the terms: -4 + -2w = -32 + 2w Solving -4 + -2w = -32 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -4 + -2w + -2w = -32 + 2w + -2w Combine like terms: -2w + -2w = -4w -4 + -4w = -32 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + -4w = -32 + 0 -4 + -4w = -32 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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