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Simplifying 50 + 10w = 80 + 7w Solving 50 + 10w = 80 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 50 + 10w + -7w = 80 + 7w + -7w Combine like terms: 10w + -7w = 3w 50 + 3w = 80 + 7w + -7w Combine like terms: 7w + -7w = 0 50 + 3w = 80 + 0 50 + 3w = 80 Add '-50' to each side of the equation. 50 + -50 + 3w = 80 + -50 Combine like terms: 50 + -50 = 0 0 + 3w = 80 + -50 3w = 80 + -50 Combine like terms: 80 + -50 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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