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Simplifying 2(w + -1(2w + -6) + 3) = 2(w + 3) Reorder the terms: 2(w + -1(-6 + 2w) + 3) = 2(w + 3) 2(w + (-6 * -1 + 2w * -1) + 3) = 2(w + 3) 2(w + (6 + -2w) + 3) = 2(w + 3) Reorder the terms: 2(6 + 3 + w + -2w) = 2(w + 3) Combine like terms: 6 + 3 = 9 2(9 + w + -2w) = 2(w + 3) Combine like terms: w + -2w = -1w 2(9 + -1w) = 2(w + 3) (9 * 2 + -1w * 2) = 2(w + 3) (18 + -2w) = 2(w + 3) Reorder the terms: 18 + -2w = 2(3 + w) 18 + -2w = (3 * 2 + w * 2) 18 + -2w = (6 + 2w) Solving 18 + -2w = 6 + 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 = 6 + 2w + -2w Combine like terms: -2w + -2w = -4w 18 + -4w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 18 + -4w = 6 + 0 18 + -4w = 6 Add '-18' to each side of the equation. 18 + -18 + -4w = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4w = 6 + -18 -4w = 6 + -18 Combine like terms: 6 + -18 = -12 -4w = -12 Divide each side by '-4'. w = 3 Simplifying w = 3
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