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Simplifying 2u + 8v + -5(4u + -4v) = 0 2u + 8v + (4u * -5 + -4v * -5) = 0 2u + 8v + (-20u + 20v) = 0 Reorder the terms: 2u + -20u + 8v + 20v = 0 Combine like terms: 2u + -20u = -18u -18u + 8v + 20v = 0 Combine like terms: 8v + 20v = 28v -18u + 28v = 0 Solving -18u + 28v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-28v' to each side of the equation. -18u + 28v + -28v = 0 + -28v Combine like terms: 28v + -28v = 0 -18u + 0 = 0 + -28v -18u = 0 + -28v Remove the zero: -18u = -28v Divide each side by '-18'. u = 1.555555556v Simplifying u = 1.555555556v
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