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Simplifying 5w + 7 = 10 + 2w Reorder the terms: 7 + 5w = 10 + 2w Solving 7 + 5w = 10 + 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. 7 + 5w + -2w = 10 + 2w + -2w Combine like terms: 5w + -2w = 3w 7 + 3w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + 3w = 10 + 0 7 + 3w = 10 Add '-7' to each side of the equation. 7 + -7 + 3w = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 10 + -7 3w = 10 + -7 Combine like terms: 10 + -7 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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