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Simplifying 7w + 10 = 5w + 70 Reorder the terms: 10 + 7w = 5w + 70 Reorder the terms: 10 + 7w = 70 + 5w Solving 10 + 7w = 70 + 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. 10 + 7w + -5w = 70 + 5w + -5w Combine like terms: 7w + -5w = 2w 10 + 2w = 70 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + 2w = 70 + 0 10 + 2w = 70 Add '-10' to each side of the equation. 10 + -10 + 2w = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = 70 + -10 2w = 70 + -10 Combine like terms: 70 + -10 = 60 2w = 60 Divide each side by '2'. w = 30 Simplifying w = 30
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