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Simplifying 12 + -1(5u + v) + -4(u + -6) + 2v = 0 12 + (5u * -1 + v * -1) + -4(u + -6) + 2v = 0 12 + (-5u + -1v) + -4(u + -6) + 2v = 0 Reorder the terms: 12 + -5u + -1v + -4(-6 + u) + 2v = 0 12 + -5u + -1v + (-6 * -4 + u * -4) + 2v = 0 12 + -5u + -1v + (24 + -4u) + 2v = 0 Reorder the terms: 12 + 24 + -5u + -4u + -1v + 2v = 0 Combine like terms: 12 + 24 = 36 36 + -5u + -4u + -1v + 2v = 0 Combine like terms: -5u + -4u = -9u 36 + -9u + -1v + 2v = 0 Combine like terms: -1v + 2v = 1v 36 + -9u + 1v = 0 Solving 36 + -9u + 1v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -9u + -36 + 1v = 0 + -36 Reorder the terms: 36 + -36 + -9u + 1v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -9u + 1v = 0 + -36 -9u + 1v = 0 + -36 Combine like terms: 0 + -36 = -36 -9u + 1v = -36 Add '-1v' to each side of the equation. -9u + 1v + -1v = -36 + -1v Combine like terms: 1v + -1v = 0 -9u + 0 = -36 + -1v -9u = -36 + -1v Divide each side by '-9'. u = 4 + 0.1111111111v Simplifying u = 4 + 0.1111111111v
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