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Simplifying 2(w + 9) = -2(6w + -2) + 2w Reorder the terms: 2(9 + w) = -2(6w + -2) + 2w (9 * 2 + w * 2) = -2(6w + -2) + 2w (18 + 2w) = -2(6w + -2) + 2w Reorder the terms: 18 + 2w = -2(-2 + 6w) + 2w 18 + 2w = (-2 * -2 + 6w * -2) + 2w 18 + 2w = (4 + -12w) + 2w Combine like terms: -12w + 2w = -10w 18 + 2w = 4 + -10w Solving 18 + 2w = 4 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 18 + 2w + 10w = 4 + -10w + 10w Combine like terms: 2w + 10w = 12w 18 + 12w = 4 + -10w + 10w Combine like terms: -10w + 10w = 0 18 + 12w = 4 + 0 18 + 12w = 4 Add '-18' to each side of the equation. 18 + -18 + 12w = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 12w = 4 + -18 12w = 4 + -18 Combine like terms: 4 + -18 = -14 12w = -14 Divide each side by '12'. w = -1.166666667 Simplifying w = -1.166666667
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