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Simplifying 7(u + 6) = -4(5u + -9) + 9u Reorder the terms: 7(6 + u) = -4(5u + -9) + 9u (6 * 7 + u * 7) = -4(5u + -9) + 9u (42 + 7u) = -4(5u + -9) + 9u Reorder the terms: 42 + 7u = -4(-9 + 5u) + 9u 42 + 7u = (-9 * -4 + 5u * -4) + 9u 42 + 7u = (36 + -20u) + 9u Combine like terms: -20u + 9u = -11u 42 + 7u = 36 + -11u Solving 42 + 7u = 36 + -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. 42 + 7u + 11u = 36 + -11u + 11u Combine like terms: 7u + 11u = 18u 42 + 18u = 36 + -11u + 11u Combine like terms: -11u + 11u = 0 42 + 18u = 36 + 0 42 + 18u = 36 Add '-42' to each side of the equation. 42 + -42 + 18u = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 18u = 36 + -42 18u = 36 + -42 Combine like terms: 36 + -42 = -6 18u = -6 Divide each side by '18'. u = -0.3333333333 Simplifying u = -0.3333333333
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