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Simplifying 5w + -24 = 13 + 4w Reorder the terms: -24 + 5w = 13 + 4w Solving -24 + 5w = 13 + 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. -24 + 5w + -4w = 13 + 4w + -4w Combine like terms: 5w + -4w = 1w -24 + 1w = 13 + 4w + -4w Combine like terms: 4w + -4w = 0 -24 + 1w = 13 + 0 -24 + 1w = 13 Add '24' to each side of the equation. -24 + 24 + 1w = 13 + 24 Combine like terms: -24 + 24 = 0 0 + 1w = 13 + 24 1w = 13 + 24 Combine like terms: 13 + 24 = 37 1w = 37 Divide each side by '1'. w = 37 Simplifying w = 37
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