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Simplifying 4w + 1 = 5w + 3 Reorder the terms: 1 + 4w = 5w + 3 Reorder the terms: 1 + 4w = 3 + 5w Solving 1 + 4w = 3 + 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. 1 + 4w + -5w = 3 + 5w + -5w Combine like terms: 4w + -5w = -1w 1 + -1w = 3 + 5w + -5w Combine like terms: 5w + -5w = 0 1 + -1w = 3 + 0 1 + -1w = 3 Add '-1' to each side of the equation. 1 + -1 + -1w = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 3 + -1 -1w = 3 + -1 Combine like terms: 3 + -1 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2
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