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Simplifying 5(2u + 3w) + -2(5u + -7w) = 0 (2u * 5 + 3w * 5) + -2(5u + -7w) = 0 (10u + 15w) + -2(5u + -7w) = 0 10u + 15w + (5u * -2 + -7w * -2) = 0 10u + 15w + (-10u + 14w) = 0 Reorder the terms: 10u + -10u + 15w + 14w = 0 Combine like terms: 10u + -10u = 0 0 + 15w + 14w = 0 15w + 14w = 0 Combine like terms: 15w + 14w = 29w 29w = 0 Solving 29w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '29'. w = 0 Simplifying w = 0
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