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Simplifying 4(5u + 4) = 3[-4u + 4(-1u + -6)] Reorder the terms: 4(4 + 5u) = 3[-4u + 4(-1u + -6)] (4 * 4 + 5u * 4) = 3[-4u + 4(-1u + -6)] (16 + 20u) = 3[-4u + 4(-1u + -6)] Reorder the terms: 16 + 20u = 3[-4u + 4(-6 + -1u)] 16 + 20u = 3[-4u + (-6 * 4 + -1u * 4)] 16 + 20u = 3[-4u + (-24 + -4u)] Reorder the terms: 16 + 20u = 3[-24 + -4u + -4u] Combine like terms: -4u + -4u = -8u 16 + 20u = 3[-24 + -8u] 16 + 20u = [-24 * 3 + -8u * 3] 16 + 20u = [-72 + -24u] Solving 16 + 20u = -72 + -24u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24u' to each side of the equation. 16 + 20u + 24u = -72 + -24u + 24u Combine like terms: 20u + 24u = 44u 16 + 44u = -72 + -24u + 24u Combine like terms: -24u + 24u = 0 16 + 44u = -72 + 0 16 + 44u = -72 Add '-16' to each side of the equation. 16 + -16 + 44u = -72 + -16 Combine like terms: 16 + -16 = 0 0 + 44u = -72 + -16 44u = -72 + -16 Combine like terms: -72 + -16 = -88 44u = -88 Divide each side by '44'. u = -2 Simplifying u = -2
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