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Simplifying 2w + 5 = w + 7 Reorder the terms: 5 + 2w = w + 7 Reorder the terms: 5 + 2w = 7 + w Solving 5 + 2w = 7 + 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. 5 + 2w + -1w = 7 + w + -1w Combine like terms: 2w + -1w = 1w 5 + 1w = 7 + w + -1w Combine like terms: w + -1w = 0 5 + 1w = 7 + 0 5 + 1w = 7 Add '-5' to each side of the equation. 5 + -5 + 1w = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 7 + -5 1w = 7 + -5 Combine like terms: 7 + -5 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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