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Simplifying 4(3u + -6) = -3[4u + -4(-1u + 5)] Reorder the terms: 4(-6 + 3u) = -3[4u + -4(-1u + 5)] (-6 * 4 + 3u * 4) = -3[4u + -4(-1u + 5)] (-24 + 12u) = -3[4u + -4(-1u + 5)] Reorder the terms: -24 + 12u = -3[4u + -4(5 + -1u)] -24 + 12u = -3[4u + (5 * -4 + -1u * -4)] -24 + 12u = -3[4u + (-20 + 4u)] Reorder the terms: -24 + 12u = -3[-20 + 4u + 4u] Combine like terms: 4u + 4u = 8u -24 + 12u = -3[-20 + 8u] -24 + 12u = [-20 * -3 + 8u * -3] -24 + 12u = [60 + -24u] Solving -24 + 12u = 60 + -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. -24 + 12u + 24u = 60 + -24u + 24u Combine like terms: 12u + 24u = 36u -24 + 36u = 60 + -24u + 24u Combine like terms: -24u + 24u = 0 -24 + 36u = 60 + 0 -24 + 36u = 60 Add '24' to each side of the equation. -24 + 24 + 36u = 60 + 24 Combine like terms: -24 + 24 = 0 0 + 36u = 60 + 24 36u = 60 + 24 Combine like terms: 60 + 24 = 84 36u = 84 Divide each side by '36'. u = 2.333333333 Simplifying u = 2.333333333
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