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Simplifying 5w + 1 = 4w + 10 Reorder the terms: 1 + 5w = 4w + 10 Reorder the terms: 1 + 5w = 10 + 4w Solving 1 + 5w = 10 + 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. 1 + 5w + -4w = 10 + 4w + -4w Combine like terms: 5w + -4w = 1w 1 + 1w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 1 + 1w = 10 + 0 1 + 1w = 10 Add '-1' to each side of the equation. 1 + -1 + 1w = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = 10 + -1 1w = 10 + -1 Combine like terms: 10 + -1 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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