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Simplifying 2(u + 1) = -2(8u + -2) + 6u Reorder the terms: 2(1 + u) = -2(8u + -2) + 6u (1 * 2 + u * 2) = -2(8u + -2) + 6u (2 + 2u) = -2(8u + -2) + 6u Reorder the terms: 2 + 2u = -2(-2 + 8u) + 6u 2 + 2u = (-2 * -2 + 8u * -2) + 6u 2 + 2u = (4 + -16u) + 6u Combine like terms: -16u + 6u = -10u 2 + 2u = 4 + -10u Solving 2 + 2u = 4 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. 2 + 2u + 10u = 4 + -10u + 10u Combine like terms: 2u + 10u = 12u 2 + 12u = 4 + -10u + 10u Combine like terms: -10u + 10u = 0 2 + 12u = 4 + 0 2 + 12u = 4 Add '-2' to each side of the equation. 2 + -2 + 12u = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 12u = 4 + -2 12u = 4 + -2 Combine like terms: 4 + -2 = 2 12u = 2 Divide each side by '12'. u = 0.1666666667 Simplifying u = 0.1666666667
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