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Simplifying -7(u + 2) = 5u + -8 + 2(3u + 4) Reorder the terms: -7(2 + u) = 5u + -8 + 2(3u + 4) (2 * -7 + u * -7) = 5u + -8 + 2(3u + 4) (-14 + -7u) = 5u + -8 + 2(3u + 4) Reorder the terms: -14 + -7u = 5u + -8 + 2(4 + 3u) -14 + -7u = 5u + -8 + (4 * 2 + 3u * 2) -14 + -7u = 5u + -8 + (8 + 6u) Reorder the terms: -14 + -7u = -8 + 8 + 5u + 6u Combine like terms: -8 + 8 = 0 -14 + -7u = 0 + 5u + 6u -14 + -7u = 5u + 6u Combine like terms: 5u + 6u = 11u -14 + -7u = 11u Solving -14 + -7u = 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. -14 + -7u + -11u = 11u + -11u Combine like terms: -7u + -11u = -18u -14 + -18u = 11u + -11u Combine like terms: 11u + -11u = 0 -14 + -18u = 0 Add '14' to each side of the equation. -14 + 14 + -18u = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -18u = 0 + 14 -18u = 0 + 14 Combine like terms: 0 + 14 = 14 -18u = 14 Divide each side by '-18'. u = -0.7777777778 Simplifying u = -0.7777777778
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