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Simplifying 5w + -1 = 4w + 5 Reorder the terms: -1 + 5w = 4w + 5 Reorder the terms: -1 + 5w = 5 + 4w Solving -1 + 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. -1 + 5w + -4w = 5 + 4w + -4w Combine like terms: 5w + -4w = 1w -1 + 1w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 -1 + 1w = 5 + 0 -1 + 1w = 5 Add '1' to each side of the equation. -1 + 1 + 1w = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 5 + 1 1w = 5 + 1 Combine like terms: 5 + 1 = 6 1w = 6 Divide each side by '1'. w = 6 Simplifying w = 6
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