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Simplifying 3(6 + w) = 2(w + -1) (6 * 3 + w * 3) = 2(w + -1) (18 + 3w) = 2(w + -1) Reorder the terms: 18 + 3w = 2(-1 + w) 18 + 3w = (-1 * 2 + w * 2) 18 + 3w = (-2 + 2w) Solving 18 + 3w = -2 + 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 + 3w + -2w = -2 + 2w + -2w Combine like terms: 3w + -2w = 1w 18 + 1w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 18 + 1w = -2 + 0 18 + 1w = -2 Add '-18' to each side of the equation. 18 + -18 + 1w = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = -2 + -18 1w = -2 + -18 Combine like terms: -2 + -18 = -20 1w = -20 Divide each side by '1'. w = -20 Simplifying w = -20
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