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Simplifying (4u + -5v) + -1(u + v) = 0 Remove parenthesis around (4u + -5v) 4u + -5v + -1(u + v) = 0 4u + -5v + (u * -1 + v * -1) = 0 4u + -5v + (-1u + -1v) = 0 Reorder the terms: 4u + -1u + -5v + -1v = 0 Combine like terms: 4u + -1u = 3u 3u + -5v + -1v = 0 Combine like terms: -5v + -1v = -6v 3u + -6v = 0 Solving 3u + -6v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6v' to each side of the equation. 3u + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 3u + 0 = 0 + 6v 3u = 0 + 6v Remove the zero: 3u = 6v Divide each side by '3'. u = 2v Simplifying u = 2v
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