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Simplifying 3(2w + 6) = 4w + -8 Reorder the terms: 3(6 + 2w) = 4w + -8 (6 * 3 + 2w * 3) = 4w + -8 (18 + 6w) = 4w + -8 Reorder the terms: 18 + 6w = -8 + 4w Solving 18 + 6w = -8 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 18 + 6w + -4w = -8 + 4w + -4w Combine like terms: 6w + -4w = 2w 18 + 2w = -8 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + 2w = -8 + 0 18 + 2w = -8 Add '-18' to each side of the equation. 18 + -18 + 2w = -8 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = -8 + -18 2w = -8 + -18 Combine like terms: -8 + -18 = -26 2w = -26 Divide each side by '2'. w = -13 Simplifying w = -13
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