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Simplifying 3u + 5v + -3(3u + -8v) = 0 3u + 5v + (3u * -3 + -8v * -3) = 0 3u + 5v + (-9u + 24v) = 0 Reorder the terms: 3u + -9u + 5v + 24v = 0 Combine like terms: 3u + -9u = -6u -6u + 5v + 24v = 0 Combine like terms: 5v + 24v = 29v -6u + 29v = 0 Solving -6u + 29v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-29v' to each side of the equation. -6u + 29v + -29v = 0 + -29v Combine like terms: 29v + -29v = 0 -6u + 0 = 0 + -29v -6u = 0 + -29v Remove the zero: -6u = -29v Divide each side by '-6'. u = 4.833333333v Simplifying u = 4.833333333v
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