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Simplifying 2(4w + 7) = 3(2w + 6) Reorder the terms: 2(7 + 4w) = 3(2w + 6) (7 * 2 + 4w * 2) = 3(2w + 6) (14 + 8w) = 3(2w + 6) Reorder the terms: 14 + 8w = 3(6 + 2w) 14 + 8w = (6 * 3 + 2w * 3) 14 + 8w = (18 + 6w) Solving 14 + 8w = 18 + 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. 14 + 8w + -6w = 18 + 6w + -6w Combine like terms: 8w + -6w = 2w 14 + 2w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + 2w = 18 + 0 14 + 2w = 18 Add '-14' to each side of the equation. 14 + -14 + 2w = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 18 + -14 2w = 18 + -14 Combine like terms: 18 + -14 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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