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Simplifying 2u = 3[5 + -1(4u + -6) + u] Reorder the terms: 2u = 3[5 + -1(-6 + 4u) + u] 2u = 3[5 + (-6 * -1 + 4u * -1) + u] 2u = 3[5 + (6 + -4u) + u] Combine like terms: 5 + 6 = 11 2u = 3[11 + -4u + u] Combine like terms: -4u + u = -3u 2u = 3[11 + -3u] 2u = [11 * 3 + -3u * 3] 2u = [33 + -9u] Solving 2u = 33 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 2u + 9u = 33 + -9u + 9u Combine like terms: 2u + 9u = 11u 11u = 33 + -9u + 9u Combine like terms: -9u + 9u = 0 11u = 33 + 0 11u = 33 Divide each side by '11'. u = 3 Simplifying u = 3
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