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Simplifying 6(6 + -3u + 1) = 5(-2u + -2) Reorder the terms: 6(6 + 1 + -3u) = 5(-2u + -2) Combine like terms: 6 + 1 = 7 6(7 + -3u) = 5(-2u + -2) (7 * 6 + -3u * 6) = 5(-2u + -2) (42 + -18u) = 5(-2u + -2) Reorder the terms: 42 + -18u = 5(-2 + -2u) 42 + -18u = (-2 * 5 + -2u * 5) 42 + -18u = (-10 + -10u) Solving 42 + -18u = -10 + -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. 42 + -18u + 10u = -10 + -10u + 10u Combine like terms: -18u + 10u = -8u 42 + -8u = -10 + -10u + 10u Combine like terms: -10u + 10u = 0 42 + -8u = -10 + 0 42 + -8u = -10 Add '-42' to each side of the equation. 42 + -42 + -8u = -10 + -42 Combine like terms: 42 + -42 = 0 0 + -8u = -10 + -42 -8u = -10 + -42 Combine like terms: -10 + -42 = -52 -8u = -52 Divide each side by '-8'. u = 6.5 Simplifying u = 6.5
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