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Simplifying 3w + 5 = 2w + 7 Reorder the terms: 5 + 3w = 2w + 7 Reorder the terms: 5 + 3w = 7 + 2w Solving 5 + 3w = 7 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 5 + 3w + -2w = 7 + 2w + -2w Combine like terms: 3w + -2w = 1w 5 + 1w = 7 + 2w + -2w Combine like terms: 2w + -2w = 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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