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Simplifying 5u + v + 7u + 14v = 0 Reorder the terms: 5u + 7u + v + 14v = 0 Combine like terms: 5u + 7u = 12u 12u + v + 14v = 0 Combine like terms: v + 14v = 15v 12u + 15v = 0 Solving 12u + 15v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15v' to each side of the equation. 12u + 15v + -15v = 0 + -15v Combine like terms: 15v + -15v = 0 12u + 0 = 0 + -15v 12u = 0 + -15v Remove the zero: 12u = -15v Divide each side by '12'. u = -1.25v Simplifying u = -1.25v
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