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Simplifying -6[u + -4(u + 2)] = 5u + -4 Reorder the terms: -6[u + -4(2 + u)] = 5u + -4 -6[u + (2 * -4 + u * -4)] = 5u + -4 -6[u + (-8 + -4u)] = 5u + -4 Reorder the terms: -6[-8 + u + -4u] = 5u + -4 Combine like terms: u + -4u = -3u -6[-8 + -3u] = 5u + -4 [-8 * -6 + -3u * -6] = 5u + -4 [48 + 18u] = 5u + -4 Reorder the terms: 48 + 18u = -4 + 5u Solving 48 + 18u = -4 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 48 + 18u + -5u = -4 + 5u + -5u Combine like terms: 18u + -5u = 13u 48 + 13u = -4 + 5u + -5u Combine like terms: 5u + -5u = 0 48 + 13u = -4 + 0 48 + 13u = -4 Add '-48' to each side of the equation. 48 + -48 + 13u = -4 + -48 Combine like terms: 48 + -48 = 0 0 + 13u = -4 + -48 13u = -4 + -48 Combine like terms: -4 + -48 = -52 13u = -52 Divide each side by '13'. u = -4 Simplifying u = -4
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