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Simplifying -4(-6v + -1u) + -3(3u + 5v) = 0 Reorder the terms: -4(-1u + -6v) + -3(3u + 5v) = 0 (-1u * -4 + -6v * -4) + -3(3u + 5v) = 0 (4u + 24v) + -3(3u + 5v) = 0 4u + 24v + (3u * -3 + 5v * -3) = 0 4u + 24v + (-9u + -15v) = 0 Reorder the terms: 4u + -9u + 24v + -15v = 0 Combine like terms: 4u + -9u = -5u -5u + 24v + -15v = 0 Combine like terms: 24v + -15v = 9v -5u + 9v = 0 Solving -5u + 9v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9v' to each side of the equation. -5u + 9v + -9v = 0 + -9v Combine like terms: 9v + -9v = 0 -5u + 0 = 0 + -9v -5u = 0 + -9v Remove the zero: -5u = -9v Divide each side by '-5'. u = 1.8v Simplifying u = 1.8v
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