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Simplifying 2w + 10 = 9w + 24 Reorder the terms: 10 + 2w = 9w + 24 Reorder the terms: 10 + 2w = 24 + 9w Solving 10 + 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. 10 + 2w + -9w = 24 + 9w + -9w Combine like terms: 2w + -9w = -7w 10 + -7w = 24 + 9w + -9w Combine like terms: 9w + -9w = 0 10 + -7w = 24 + 0 10 + -7w = 24 Add '-10' to each side of the equation. 10 + -10 + -7w = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -7w = 24 + -10 -7w = 24 + -10 Combine like terms: 24 + -10 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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