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Simplifying 5(2u + w) + -2(5u + -7w) = 29 (2u * 5 + w * 5) + -2(5u + -7w) = 29 (10u + 5w) + -2(5u + -7w) = 29 10u + 5w + (5u * -2 + -7w * -2) = 29 10u + 5w + (-10u + 14w) = 29 Reorder the terms: 10u + -10u + 5w + 14w = 29 Combine like terms: 10u + -10u = 0 0 + 5w + 14w = 29 5w + 14w = 29 Combine like terms: 5w + 14w = 19w 19w = 29 Solving 19w = 29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '19'. w = 1.526315789 Simplifying w = 1.526315789
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