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Simplifying -7(u + 1) = 2u + -7 + 3(3u + 4) Reorder the terms: -7(1 + u) = 2u + -7 + 3(3u + 4) (1 * -7 + u * -7) = 2u + -7 + 3(3u + 4) (-7 + -7u) = 2u + -7 + 3(3u + 4) Reorder the terms: -7 + -7u = 2u + -7 + 3(4 + 3u) -7 + -7u = 2u + -7 + (4 * 3 + 3u * 3) -7 + -7u = 2u + -7 + (12 + 9u) Reorder the terms: -7 + -7u = -7 + 12 + 2u + 9u Combine like terms: -7 + 12 = 5 -7 + -7u = 5 + 2u + 9u Combine like terms: 2u + 9u = 11u -7 + -7u = 5 + 11u Solving -7 + -7u = 5 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -7 + -7u + -11u = 5 + 11u + -11u Combine like terms: -7u + -11u = -18u -7 + -18u = 5 + 11u + -11u Combine like terms: 11u + -11u = 0 -7 + -18u = 5 + 0 -7 + -18u = 5 Add '7' to each side of the equation. -7 + 7 + -18u = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -18u = 5 + 7 -18u = 5 + 7 Combine like terms: 5 + 7 = 12 -18u = 12 Divide each side by '-18'. u = -0.6666666667 Simplifying u = -0.6666666667
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