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Simplifying 5w + -6 = -10w + 24 Reorder the terms: -6 + 5w = -10w + 24 Reorder the terms: -6 + 5w = 24 + -10w Solving -6 + 5w = 24 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -6 + 5w + 10w = 24 + -10w + 10w Combine like terms: 5w + 10w = 15w -6 + 15w = 24 + -10w + 10w Combine like terms: -10w + 10w = 0 -6 + 15w = 24 + 0 -6 + 15w = 24 Add '6' to each side of the equation. -6 + 6 + 15w = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 15w = 24 + 6 15w = 24 + 6 Combine like terms: 24 + 6 = 30 15w = 30 Divide each side by '15'. w = 2 Simplifying w = 2
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