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Simplifying 7w + 5 = 5w + 37 Reorder the terms: 5 + 7w = 5w + 37 Reorder the terms: 5 + 7w = 37 + 5w Solving 5 + 7w = 37 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 5 + 7w + -5w = 37 + 5w + -5w Combine like terms: 7w + -5w = 2w 5 + 2w = 37 + 5w + -5w Combine like terms: 5w + -5w = 0 5 + 2w = 37 + 0 5 + 2w = 37 Add '-5' to each side of the equation. 5 + -5 + 2w = 37 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 37 + -5 2w = 37 + -5 Combine like terms: 37 + -5 = 32 2w = 32 Divide each side by '2'. w = 16 Simplifying w = 16
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