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Simplifying 2 + 2(5u + -1) = -2(2u + -9) + 6u Reorder the terms: 2 + 2(-1 + 5u) = -2(2u + -9) + 6u 2 + (-1 * 2 + 5u * 2) = -2(2u + -9) + 6u 2 + (-2 + 10u) = -2(2u + -9) + 6u Combine like terms: 2 + -2 = 0 0 + 10u = -2(2u + -9) + 6u 10u = -2(2u + -9) + 6u Reorder the terms: 10u = -2(-9 + 2u) + 6u 10u = (-9 * -2 + 2u * -2) + 6u 10u = (18 + -4u) + 6u Combine like terms: -4u + 6u = 2u 10u = 18 + 2u Solving 10u = 18 + 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. 10u + -2u = 18 + 2u + -2u Combine like terms: 10u + -2u = 8u 8u = 18 + 2u + -2u Combine like terms: 2u + -2u = 0 8u = 18 + 0 8u = 18 Divide each side by '8'. u = 2.25 Simplifying u = 2.25
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