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Simplifying -2(w + -9) = -6w + 14 Reorder the terms: -2(-9 + w) = -6w + 14 (-9 * -2 + w * -2) = -6w + 14 (18 + -2w) = -6w + 14 Reorder the terms: 18 + -2w = 14 + -6w Solving 18 + -2w = 14 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 18 + -2w + 6w = 14 + -6w + 6w Combine like terms: -2w + 6w = 4w 18 + 4w = 14 + -6w + 6w Combine like terms: -6w + 6w = 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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