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Simplifying 2w + -31 = 9w + 24 Reorder the terms: -31 + 2w = 9w + 24 Reorder the terms: -31 + 2w = 24 + 9w Solving -31 + 2w = 24 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -31 + 2w + -9w = 24 + 9w + -9w Combine like terms: 2w + -9w = -7w -31 + -7w = 24 + 9w + -9w Combine like terms: 9w + -9w = 0 -31 + -7w = 24 + 0 -31 + -7w = 24 Add '31' to each side of the equation. -31 + 31 + -7w = 24 + 31 Combine like terms: -31 + 31 = 0 0 + -7w = 24 + 31 -7w = 24 + 31 Combine like terms: 24 + 31 = 55 -7w = 55 Divide each side by '-7'. w = -7.857142857 Simplifying w = -7.857142857
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