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Simplifying 3u + -5 + 2(4u + 3) = -7(u + 2) Reorder the terms: 3u + -5 + 2(3 + 4u) = -7(u + 2) 3u + -5 + (3 * 2 + 4u * 2) = -7(u + 2) 3u + -5 + (6 + 8u) = -7(u + 2) Reorder the terms: -5 + 6 + 3u + 8u = -7(u + 2) Combine like terms: -5 + 6 = 1 1 + 3u + 8u = -7(u + 2) Combine like terms: 3u + 8u = 11u 1 + 11u = -7(u + 2) Reorder the terms: 1 + 11u = -7(2 + u) 1 + 11u = (2 * -7 + u * -7) 1 + 11u = (-14 + -7u) Solving 1 + 11u = -14 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 1 + 11u + 7u = -14 + -7u + 7u Combine like terms: 11u + 7u = 18u 1 + 18u = -14 + -7u + 7u Combine like terms: -7u + 7u = 0 1 + 18u = -14 + 0 1 + 18u = -14 Add '-1' to each side of the equation. 1 + -1 + 18u = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 18u = -14 + -1 18u = -14 + -1 Combine like terms: -14 + -1 = -15 18u = -15 Divide each side by '18'. u = -0.8333333333 Simplifying u = -0.8333333333
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