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Simplifying 31 = 2w + 9 Reorder the terms: 31 = 9 + 2w Solving 31 = 9 + 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. 31 + -2w = 9 + 2w + -2w Combine like terms: 2w + -2w = 0 31 + -2w = 9 + 0 31 + -2w = 9 Add '-31' to each side of the equation. 31 + -31 + -2w = 9 + -31 Combine like terms: 31 + -31 = 0 0 + -2w = 9 + -31 -2w = 9 + -31 Combine like terms: 9 + -31 = -22 -2w = -22 Divide each side by '-2'. w = 11 Simplifying w = 11
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