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Simplifying 7u + v + -12u + 18v = 0 Reorder the terms: 7u + -12u + v + 18v = 0 Combine like terms: 7u + -12u = -5u -5u + v + 18v = 0 Combine like terms: v + 18v = 19v -5u + 19v = 0 Solving -5u + 19v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-19v' to each side of the equation. -5u + 19v + -19v = 0 + -19v Combine like terms: 19v + -19v = 0 -5u + 0 = 0 + -19v -5u = 0 + -19v Remove the zero: -5u = -19v Divide each side by '-5'. u = 3.8v Simplifying u = 3.8v
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