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Simplifying 2u + -5 + 3(2u + 3) = -7(u + 2) Reorder the terms: 2u + -5 + 3(3 + 2u) = -7(u + 2) 2u + -5 + (3 * 3 + 2u * 3) = -7(u + 2) 2u + -5 + (9 + 6u) = -7(u + 2) Reorder the terms: -5 + 9 + 2u + 6u = -7(u + 2) Combine like terms: -5 + 9 = 4 4 + 2u + 6u = -7(u + 2) Combine like terms: 2u + 6u = 8u 4 + 8u = -7(u + 2) Reorder the terms: 4 + 8u = -7(2 + u) 4 + 8u = (2 * -7 + u * -7) 4 + 8u = (-14 + -7u) Solving 4 + 8u = -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. 4 + 8u + 7u = -14 + -7u + 7u Combine like terms: 8u + 7u = 15u 4 + 15u = -14 + -7u + 7u Combine like terms: -7u + 7u = 0 4 + 15u = -14 + 0 4 + 15u = -14 Add '-4' to each side of the equation. 4 + -4 + 15u = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 15u = -14 + -4 15u = -14 + -4 Combine like terms: -14 + -4 = -18 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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