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Simplifying -3w + 2(5w + -4) = 24 Reorder the terms: -3w + 2(-4 + 5w) = 24 -3w + (-4 * 2 + 5w * 2) = 24 -3w + (-8 + 10w) = 24 Reorder the terms: -8 + -3w + 10w = 24 Combine like terms: -3w + 10w = 7w -8 + 7w = 24 Solving -8 + 7w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7w = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 7w = 24 + 8 7w = 24 + 8 Combine like terms: 24 + 8 = 32 7w = 32 Divide each side by '7'. w = 4.571428571 Simplifying w = 4.571428571
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