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Simplifying 5w + 1 + -2w = 13 + -1w Reorder the terms: 1 + 5w + -2w = 13 + -1w Combine like terms: 5w + -2w = 3w 1 + 3w = 13 + -1w Solving 1 + 3w = 13 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 1 + 3w + w = 13 + -1w + w Combine like terms: 3w + w = 4w 1 + 4w = 13 + -1w + w Combine like terms: -1w + w = 0 1 + 4w = 13 + 0 1 + 4w = 13 Add '-1' to each side of the equation. 1 + -1 + 4w = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4w = 13 + -1 4w = 13 + -1 Combine like terms: 13 + -1 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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