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Simplifying 5w + 23 = 6w + 4w + -17 Reorder the terms: 23 + 5w = 6w + 4w + -17 Reorder the terms: 23 + 5w = -17 + 6w + 4w Combine like terms: 6w + 4w = 10w 23 + 5w = -17 + 10w Solving 23 + 5w = -17 + 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. 23 + 5w + -10w = -17 + 10w + -10w Combine like terms: 5w + -10w = -5w 23 + -5w = -17 + 10w + -10w Combine like terms: 10w + -10w = 0 23 + -5w = -17 + 0 23 + -5w = -17 Add '-23' to each side of the equation. 23 + -23 + -5w = -17 + -23 Combine like terms: 23 + -23 = 0 0 + -5w = -17 + -23 -5w = -17 + -23 Combine like terms: -17 + -23 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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