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Simplifying 2u = 3[5(4u + -6) + u] Reorder the terms: 2u = 3[5(-6 + 4u) + u] 2u = 3[(-6 * 5 + 4u * 5) + u] 2u = 3[(-30 + 20u) + u] Combine like terms: 20u + u = 21u 2u = 3[-30 + 21u] 2u = [-30 * 3 + 21u * 3] 2u = [-90 + 63u] Solving 2u = -90 + 63u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-63u' to each side of the equation. 2u + -63u = -90 + 63u + -63u Combine like terms: 2u + -63u = -61u -61u = -90 + 63u + -63u Combine like terms: 63u + -63u = 0 -61u = -90 + 0 -61u = -90 Divide each side by '-61'. u = 1.475409836 Simplifying u = 1.475409836
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