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Simplifying 5(u + v) + -6(u + -5v) = 0 (u * 5 + v * 5) + -6(u + -5v) = 0 (5u + 5v) + -6(u + -5v) = 0 5u + 5v + (u * -6 + -5v * -6) = 0 5u + 5v + (-6u + 30v) = 0 Reorder the terms: 5u + -6u + 5v + 30v = 0 Combine like terms: 5u + -6u = -1u -1u + 5v + 30v = 0 Combine like terms: 5v + 30v = 35v -1u + 35v = 0 Solving -1u + 35v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-35v' to each side of the equation. -1u + 35v + -35v = 0 + -35v Combine like terms: 35v + -35v = 0 -1u + 0 = 0 + -35v -1u = 0 + -35v Remove the zero: -1u = -35v Divide each side by '-1'. u = 35v Simplifying u = 35v
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