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Simplifying 3(5w + -8) = 4w + 2 Reorder the terms: 3(-8 + 5w) = 4w + 2 (-8 * 3 + 5w * 3) = 4w + 2 (-24 + 15w) = 4w + 2 Reorder the terms: -24 + 15w = 2 + 4w Solving -24 + 15w = 2 + 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. -24 + 15w + -4w = 2 + 4w + -4w Combine like terms: 15w + -4w = 11w -24 + 11w = 2 + 4w + -4w Combine like terms: 4w + -4w = 0 -24 + 11w = 2 + 0 -24 + 11w = 2 Add '24' to each side of the equation. -24 + 24 + 11w = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 11w = 2 + 24 11w = 2 + 24 Combine like terms: 2 + 24 = 26 11w = 26 Divide each side by '11'. w = 2.363636364 Simplifying w = 2.363636364
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