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Simplifying 5w + 35 = w + 71 Reorder the terms: 35 + 5w = w + 71 Reorder the terms: 35 + 5w = 71 + w Solving 35 + 5w = 71 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 35 + 5w + -1w = 71 + w + -1w Combine like terms: 5w + -1w = 4w 35 + 4w = 71 + w + -1w Combine like terms: w + -1w = 0 35 + 4w = 71 + 0 35 + 4w = 71 Add '-35' to each side of the equation. 35 + -35 + 4w = 71 + -35 Combine like terms: 35 + -35 = 0 0 + 4w = 71 + -35 4w = 71 + -35 Combine like terms: 71 + -35 = 36 4w = 36 Divide each side by '4'. w = 9 Simplifying w = 9
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