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Simplifying 9(4u + -5) = 5(5v + 2) Reorder the terms: 9(-5 + 4u) = 5(5v + 2) (-5 * 9 + 4u * 9) = 5(5v + 2) (-45 + 36u) = 5(5v + 2) Reorder the terms: -45 + 36u = 5(2 + 5v) -45 + 36u = (2 * 5 + 5v * 5) -45 + 36u = (10 + 25v) Solving -45 + 36u = 10 + 25v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 36u = 10 + 45 + 25v Combine like terms: -45 + 45 = 0 0 + 36u = 10 + 45 + 25v 36u = 10 + 45 + 25v Combine like terms: 10 + 45 = 55 36u = 55 + 25v Divide each side by '36'. u = 1.527777778 + 0.6944444444v Simplifying u = 1.527777778 + 0.6944444444v
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