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Simplifying 8w + -17 = 3w + 23 Reorder the terms: -17 + 8w = 3w + 23 Reorder the terms: -17 + 8w = 23 + 3w Solving -17 + 8w = 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. -17 + 8w + -3w = 23 + 3w + -3w Combine like terms: 8w + -3w = 5w -17 + 5w = 23 + 3w + -3w Combine like terms: 3w + -3w = 0 -17 + 5w = 23 + 0 -17 + 5w = 23 Add '17' to each side of the equation. -17 + 17 + 5w = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 5w = 23 + 17 5w = 23 + 17 Combine like terms: 23 + 17 = 40 5w = 40 Divide each side by '5'. w = 8 Simplifying w = 8
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