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Simplifying (5u + -5) + -1(u + -2) = 10 + -1(2u + 1) Reorder the terms: (-5 + 5u) + -1(u + -2) = 10 + -1(2u + 1) Remove parenthesis around (-5 + 5u) -5 + 5u + -1(u + -2) = 10 + -1(2u + 1) Reorder the terms: -5 + 5u + -1(-2 + u) = 10 + -1(2u + 1) -5 + 5u + (-2 * -1 + u * -1) = 10 + -1(2u + 1) -5 + 5u + (2 + -1u) = 10 + -1(2u + 1) Reorder the terms: -5 + 2 + 5u + -1u = 10 + -1(2u + 1) Combine like terms: -5 + 2 = -3 -3 + 5u + -1u = 10 + -1(2u + 1) Combine like terms: 5u + -1u = 4u -3 + 4u = 10 + -1(2u + 1) Reorder the terms: -3 + 4u = 10 + -1(1 + 2u) -3 + 4u = 10 + (1 * -1 + 2u * -1) -3 + 4u = 10 + (-1 + -2u) Combine like terms: 10 + -1 = 9 -3 + 4u = 9 + -2u Solving -3 + 4u = 9 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -3 + 4u + 2u = 9 + -2u + 2u Combine like terms: 4u + 2u = 6u -3 + 6u = 9 + -2u + 2u Combine like terms: -2u + 2u = 0 -3 + 6u = 9 + 0 -3 + 6u = 9 Add '3' to each side of the equation. -3 + 3 + 6u = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6u = 9 + 3 6u = 9 + 3 Combine like terms: 9 + 3 = 12 6u = 12 Divide each side by '6'. u = 2 Simplifying u = 2
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