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Simplifying 7(u + 6) = -4(4u + -9) + 8u Reorder the terms: 7(6 + u) = -4(4u + -9) + 8u (6 * 7 + u * 7) = -4(4u + -9) + 8u (42 + 7u) = -4(4u + -9) + 8u Reorder the terms: 42 + 7u = -4(-9 + 4u) + 8u 42 + 7u = (-9 * -4 + 4u * -4) + 8u 42 + 7u = (36 + -16u) + 8u Combine like terms: -16u + 8u = -8u 42 + 7u = 36 + -8u Solving 42 + 7u = 36 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 42 + 7u + 8u = 36 + -8u + 8u Combine like terms: 7u + 8u = 15u 42 + 15u = 36 + -8u + 8u Combine like terms: -8u + 8u = 0 42 + 15u = 36 + 0 42 + 15u = 36 Add '-42' to each side of the equation. 42 + -42 + 15u = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 15u = 36 + -42 15u = 36 + -42 Combine like terms: 36 + -42 = -6 15u = -6 Divide each side by '15'. u = -0.4 Simplifying u = -0.4
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