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Simplifying 9(u + -5) = 5u + -5 Reorder the terms: 9(-5 + u) = 5u + -5 (-5 * 9 + u * 9) = 5u + -5 (-45 + 9u) = 5u + -5 Reorder the terms: -45 + 9u = -5 + 5u Solving -45 + 9u = -5 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -45 + 9u + -5u = -5 + 5u + -5u Combine like terms: 9u + -5u = 4u -45 + 4u = -5 + 5u + -5u Combine like terms: 5u + -5u = 0 -45 + 4u = -5 + 0 -45 + 4u = -5 Add '45' to each side of the equation. -45 + 45 + 4u = -5 + 45 Combine like terms: -45 + 45 = 0 0 + 4u = -5 + 45 4u = -5 + 45 Combine like terms: -5 + 45 = 40 4u = 40 Divide each side by '4'. u = 10 Simplifying u = 10
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