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Simplifying 23w + 17 = 19w + 37 Reorder the terms: 17 + 23w = 19w + 37 Reorder the terms: 17 + 23w = 37 + 19w Solving 17 + 23w = 37 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. 17 + 23w + -19w = 37 + 19w + -19w Combine like terms: 23w + -19w = 4w 17 + 4w = 37 + 19w + -19w Combine like terms: 19w + -19w = 0 17 + 4w = 37 + 0 17 + 4w = 37 Add '-17' to each side of the equation. 17 + -17 + 4w = 37 + -17 Combine like terms: 17 + -17 = 0 0 + 4w = 37 + -17 4w = 37 + -17 Combine like terms: 37 + -17 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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