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Simplifying 31 = 2w + 13 Reorder the terms: 31 = 13 + 2w Solving 31 = 13 + 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 = 13 + 2w + -2w Combine like terms: 2w + -2w = 0 31 + -2w = 13 + 0 31 + -2w = 13 Add '-31' to each side of the equation. 31 + -31 + -2w = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -2w = 13 + -31 -2w = 13 + -31 Combine like terms: 13 + -31 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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