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Simplifying 3(6w + 8) = 2(4w + 24) Reorder the terms: 3(8 + 6w) = 2(4w + 24) (8 * 3 + 6w * 3) = 2(4w + 24) (24 + 18w) = 2(4w + 24) Reorder the terms: 24 + 18w = 2(24 + 4w) 24 + 18w = (24 * 2 + 4w * 2) 24 + 18w = (48 + 8w) Solving 24 + 18w = 48 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 24 + 18w + -8w = 48 + 8w + -8w Combine like terms: 18w + -8w = 10w 24 + 10w = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 24 + 10w = 48 + 0 24 + 10w = 48 Add '-24' to each side of the equation. 24 + -24 + 10w = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 10w = 48 + -24 10w = 48 + -24 Combine like terms: 48 + -24 = 24 10w = 24 Divide each side by '10'. w = 2.4 Simplifying w = 2.4
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