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Simplifying 2(5 + w) = 42 (5 * 2 + w * 2) = 42 (10 + 2w) = 42 Solving 10 + 2w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2w = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = 42 + -10 2w = 42 + -10 Combine like terms: 42 + -10 = 32 2w = 32 Divide each side by '2'. w = 16 Simplifying w = 16
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