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Simplifying -2(w + 9) = 2w + -14 Reorder the terms: -2(9 + w) = 2w + -14 (9 * -2 + w * -2) = 2w + -14 (-18 + -2w) = 2w + -14 Reorder the terms: -18 + -2w = -14 + 2w Solving -18 + -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. -18 + -2w + -2w = -14 + 2w + -2w Combine like terms: -2w + -2w = -4w -18 + -4w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -18 + -4w = -14 + 0 -18 + -4w = -14 Add '18' to each side of the equation. -18 + 18 + -4w = -14 + 18 Combine like terms: -18 + 18 = 0 0 + -4w = -14 + 18 -4w = -14 + 18 Combine like terms: -14 + 18 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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