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Simplifying 4(u + 6) = -2(8u + -3) + 5u Reorder the terms: 4(6 + u) = -2(8u + -3) + 5u (6 * 4 + u * 4) = -2(8u + -3) + 5u (24 + 4u) = -2(8u + -3) + 5u Reorder the terms: 24 + 4u = -2(-3 + 8u) + 5u 24 + 4u = (-3 * -2 + 8u * -2) + 5u 24 + 4u = (6 + -16u) + 5u Combine like terms: -16u + 5u = -11u 24 + 4u = 6 + -11u Solving 24 + 4u = 6 + -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. 24 + 4u + 11u = 6 + -11u + 11u Combine like terms: 4u + 11u = 15u 24 + 15u = 6 + -11u + 11u Combine like terms: -11u + 11u = 0 24 + 15u = 6 + 0 24 + 15u = 6 Add '-24' to each side of the equation. 24 + -24 + 15u = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 15u = 6 + -24 15u = 6 + -24 Combine like terms: 6 + -24 = -18 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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