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Simplifying 9(4u + -5) = 5(5u + 2) Reorder the terms: 9(-5 + 4u) = 5(5u + 2) (-5 * 9 + 4u * 9) = 5(5u + 2) (-45 + 36u) = 5(5u + 2) Reorder the terms: -45 + 36u = 5(2 + 5u) -45 + 36u = (2 * 5 + 5u * 5) -45 + 36u = (10 + 25u) Solving -45 + 36u = 10 + 25u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-25u' to each side of the equation. -45 + 36u + -25u = 10 + 25u + -25u Combine like terms: 36u + -25u = 11u -45 + 11u = 10 + 25u + -25u Combine like terms: 25u + -25u = 0 -45 + 11u = 10 + 0 -45 + 11u = 10 Add '45' to each side of the equation. -45 + 45 + 11u = 10 + 45 Combine like terms: -45 + 45 = 0 0 + 11u = 10 + 45 11u = 10 + 45 Combine like terms: 10 + 45 = 55 11u = 55 Divide each side by '11'. u = 5 Simplifying u = 5
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