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Simplifying 31 + 2w = 7w Solving 31 + 2w = 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. 31 + 2w + -7w = 7w + -7w Combine like terms: 2w + -7w = -5w 31 + -5w = 7w + -7w Combine like terms: 7w + -7w = 0 31 + -5w = 0 Add '-31' to each side of the equation. 31 + -31 + -5w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -5w = 0 + -31 -5w = 0 + -31 Combine like terms: 0 + -31 = -31 -5w = -31 Divide each side by '-5'. w = 6.2 Simplifying w = 6.2
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