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Simplifying -2(w + -1) = 2w + 14 Reorder the terms: -2(-1 + w) = 2w + 14 (-1 * -2 + w * -2) = 2w + 14 (2 + -2w) = 2w + 14 Reorder the terms: 2 + -2w = 14 + 2w Solving 2 + -2w = 14 + 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. 2 + -2w + -2w = 14 + 2w + -2w Combine like terms: -2w + -2w = -4w 2 + -4w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + -4w = 14 + 0 2 + -4w = 14 Add '-2' to each side of the equation. 2 + -2 + -4w = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -4w = 14 + -2 -4w = 14 + -2 Combine like terms: 14 + -2 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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