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Simplifying 8u + 6v + -6(3u + -5v) = 0 8u + 6v + (3u * -6 + -5v * -6) = 0 8u + 6v + (-18u + 30v) = 0 Reorder the terms: 8u + -18u + 6v + 30v = 0 Combine like terms: 8u + -18u = -10u -10u + 6v + 30v = 0 Combine like terms: 6v + 30v = 36v -10u + 36v = 0 Solving -10u + 36v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-36v' to each side of the equation. -10u + 36v + -36v = 0 + -36v Combine like terms: 36v + -36v = 0 -10u + 0 = 0 + -36v -10u = 0 + -36v Remove the zero: -10u = -36v Divide each side by '-10'. u = 3.6v Simplifying u = 3.6v
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