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Simplifying 4u + 2v + -7v + 2u + 12v + -5u = 0 Reorder the terms: 4u + 2u + -5u + 2v + -7v + 12v = 0 Combine like terms: 4u + 2u = 6u 6u + -5u + 2v + -7v + 12v = 0 Combine like terms: 6u + -5u = 1u 1u + 2v + -7v + 12v = 0 Combine like terms: 2v + -7v = -5v 1u + -5v + 12v = 0 Combine like terms: -5v + 12v = 7v 1u + 7v = 0 Solving 1u + 7v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7v' to each side of the equation. 1u + 7v + -7v = 0 + -7v Combine like terms: 7v + -7v = 0 1u + 0 = 0 + -7v 1u = 0 + -7v Remove the zero: 1u = -7v Divide each side by '1'. u = -7v Simplifying u = -7v
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