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Simplifying 40 + 4w = 5w + 23 Reorder the terms: 40 + 4w = 23 + 5w Solving 40 + 4w = 23 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 40 + 4w + -5w = 23 + 5w + -5w Combine like terms: 4w + -5w = -1w 40 + -1w = 23 + 5w + -5w Combine like terms: 5w + -5w = 0 40 + -1w = 23 + 0 40 + -1w = 23 Add '-40' to each side of the equation. 40 + -40 + -1w = 23 + -40 Combine like terms: 40 + -40 = 0 0 + -1w = 23 + -40 -1w = 23 + -40 Combine like terms: 23 + -40 = -17 -1w = -17 Divide each side by '-1'. w = 17 Simplifying w = 17
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