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Simplifying (3 + -6u + 4v)(-2) = 0 Reorder the terms for easier multiplication: -2(3 + -6u + 4v) = 0 (3 * -2 + -6u * -2 + 4v * -2) = 0 (-6 + 12u + -8v) = 0 Solving -6 + 12u + -8v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 12u + 6 + -8v = 0 + 6 Reorder the terms: -6 + 6 + 12u + -8v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12u + -8v = 0 + 6 12u + -8v = 0 + 6 Combine like terms: 0 + 6 = 6 12u + -8v = 6 Add '8v' to each side of the equation. 12u + -8v + 8v = 6 + 8v Combine like terms: -8v + 8v = 0 12u + 0 = 6 + 8v 12u = 6 + 8v Divide each side by '12'. u = 0.5 + 0.6666666667v Simplifying u = 0.5 + 0.6666666667v
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