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Simplifying 96 = 2(31) + 2w Multiply 2 * 31 96 = 62 + 2w Solving 96 = 62 + 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. 96 + -2w = 62 + 2w + -2w Combine like terms: 2w + -2w = 0 96 + -2w = 62 + 0 96 + -2w = 62 Add '-96' to each side of the equation. 96 + -96 + -2w = 62 + -96 Combine like terms: 96 + -96 = 0 0 + -2w = 62 + -96 -2w = 62 + -96 Combine like terms: 62 + -96 = -34 -2w = -34 Divide each side by '-2'. w = 17 Simplifying w = 17
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