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Simplifying 10w + 9 = 3w + 23 Reorder the terms: 9 + 10w = 3w + 23 Reorder the terms: 9 + 10w = 23 + 3w Solving 9 + 10w = 23 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 9 + 10w + -3w = 23 + 3w + -3w Combine like terms: 10w + -3w = 7w 9 + 7w = 23 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + 7w = 23 + 0 9 + 7w = 23 Add '-9' to each side of the equation. 9 + -9 + 7w = 23 + -9 Combine like terms: 9 + -9 = 0 0 + 7w = 23 + -9 7w = 23 + -9 Combine like terms: 23 + -9 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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