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Simplifying 3w + 26 = w + 40 Reorder the terms: 26 + 3w = w + 40 Reorder the terms: 26 + 3w = 40 + w Solving 26 + 3w = 40 + 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. 26 + 3w + -1w = 40 + w + -1w Combine like terms: 3w + -1w = 2w 26 + 2w = 40 + w + -1w Combine like terms: w + -1w = 0 26 + 2w = 40 + 0 26 + 2w = 40 Add '-26' to each side of the equation. 26 + -26 + 2w = 40 + -26 Combine like terms: 26 + -26 = 0 0 + 2w = 40 + -26 2w = 40 + -26 Combine like terms: 40 + -26 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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