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Simplifying -10(u + v) + 8(u + -1) + -3(u + 6) = 0 (u * -10 + v * -10) + 8(u + -1) + -3(u + 6) = 0 (-10u + -10v) + 8(u + -1) + -3(u + 6) = 0 Reorder the terms: -10u + -10v + 8(-1 + u) + -3(u + 6) = 0 -10u + -10v + (-1 * 8 + u * 8) + -3(u + 6) = 0 -10u + -10v + (-8 + 8u) + -3(u + 6) = 0 Reorder the terms: -10u + -10v + -8 + 8u + -3(6 + u) = 0 -10u + -10v + -8 + 8u + (6 * -3 + u * -3) = 0 -10u + -10v + -8 + 8u + (-18 + -3u) = 0 Reorder the terms: -8 + -18 + -10u + 8u + -3u + -10v = 0 Combine like terms: -8 + -18 = -26 -26 + -10u + 8u + -3u + -10v = 0 Combine like terms: -10u + 8u = -2u -26 + -2u + -3u + -10v = 0 Combine like terms: -2u + -3u = -5u -26 + -5u + -10v = 0 Solving -26 + -5u + -10v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '26' to each side of the equation. -26 + -5u + 26 + -10v = 0 + 26 Reorder the terms: -26 + 26 + -5u + -10v = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -5u + -10v = 0 + 26 -5u + -10v = 0 + 26 Combine like terms: 0 + 26 = 26 -5u + -10v = 26 Add '10v' to each side of the equation. -5u + -10v + 10v = 26 + 10v Combine like terms: -10v + 10v = 0 -5u + 0 = 26 + 10v -5u = 26 + 10v Divide each side by '-5'. u = -5.2 + -2v Simplifying u = -5.2 + -2v
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