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Simplifying 4u + 5v + -6(3u + -4v) = 0 4u + 5v + (3u * -6 + -4v * -6) = 0 4u + 5v + (-18u + 24v) = 0 Reorder the terms: 4u + -18u + 5v + 24v = 0 Combine like terms: 4u + -18u = -14u -14u + 5v + 24v = 0 Combine like terms: 5v + 24v = 29v -14u + 29v = 0 Solving -14u + 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. -14u + 29v + -29v = 0 + -29v Combine like terms: 29v + -29v = 0 -14u + 0 = 0 + -29v -14u = 0 + -29v Remove the zero: -14u = -29v Divide each side by '-14'. u = 2.071428571v Simplifying u = 2.071428571v
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