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Simplifying 5w + 3 = 4w + 5 Reorder the terms: 3 + 5w = 4w + 5 Reorder the terms: 3 + 5w = 5 + 4w Solving 3 + 5w = 5 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 3 + 5w + -4w = 5 + 4w + -4w Combine like terms: 5w + -4w = 1w 3 + 1w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + 1w = 5 + 0 3 + 1w = 5 Add '-3' to each side of the equation. 3 + -3 + 1w = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = 5 + -3 1w = 5 + -3 Combine like terms: 5 + -3 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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