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Simplifying -5(u + 2) = -2(2u + -1) + 9u Reorder the terms: -5(2 + u) = -2(2u + -1) + 9u (2 * -5 + u * -5) = -2(2u + -1) + 9u (-10 + -5u) = -2(2u + -1) + 9u Reorder the terms: -10 + -5u = -2(-1 + 2u) + 9u -10 + -5u = (-1 * -2 + 2u * -2) + 9u -10 + -5u = (2 + -4u) + 9u Combine like terms: -4u + 9u = 5u -10 + -5u = 2 + 5u Solving -10 + -5u = 2 + 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. -10 + -5u + -5u = 2 + 5u + -5u Combine like terms: -5u + -5u = -10u -10 + -10u = 2 + 5u + -5u Combine like terms: 5u + -5u = 0 -10 + -10u = 2 + 0 -10 + -10u = 2 Add '10' to each side of the equation. -10 + 10 + -10u = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -10u = 2 + 10 -10u = 2 + 10 Combine like terms: 2 + 10 = 12 -10u = 12 Divide each side by '-10'. u = -1.2 Simplifying u = -1.2
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