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Simplifying 2u + -8 + 2(3u + 1) = -2(u + 2) Reorder the terms: 2u + -8 + 2(1 + 3u) = -2(u + 2) 2u + -8 + (1 * 2 + 3u * 2) = -2(u + 2) 2u + -8 + (2 + 6u) = -2(u + 2) Reorder the terms: -8 + 2 + 2u + 6u = -2(u + 2) Combine like terms: -8 + 2 = -6 -6 + 2u + 6u = -2(u + 2) Combine like terms: 2u + 6u = 8u -6 + 8u = -2(u + 2) Reorder the terms: -6 + 8u = -2(2 + u) -6 + 8u = (2 * -2 + u * -2) -6 + 8u = (-4 + -2u) Solving -6 + 8u = -4 + -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. -6 + 8u + 2u = -4 + -2u + 2u Combine like terms: 8u + 2u = 10u -6 + 10u = -4 + -2u + 2u Combine like terms: -2u + 2u = 0 -6 + 10u = -4 + 0 -6 + 10u = -4 Add '6' to each side of the equation. -6 + 6 + 10u = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 10u = -4 + 6 10u = -4 + 6 Combine like terms: -4 + 6 = 2 10u = 2 Divide each side by '10'. u = 0.2 Simplifying u = 0.2
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