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Simplifying -4(5u + -4) = 3[4u + 2(-1u + -4)] Reorder the terms: -4(-4 + 5u) = 3[4u + 2(-1u + -4)] (-4 * -4 + 5u * -4) = 3[4u + 2(-1u + -4)] (16 + -20u) = 3[4u + 2(-1u + -4)] Reorder the terms: 16 + -20u = 3[4u + 2(-4 + -1u)] 16 + -20u = 3[4u + (-4 * 2 + -1u * 2)] 16 + -20u = 3[4u + (-8 + -2u)] Reorder the terms: 16 + -20u = 3[-8 + 4u + -2u] Combine like terms: 4u + -2u = 2u 16 + -20u = 3[-8 + 2u] 16 + -20u = [-8 * 3 + 2u * 3] 16 + -20u = [-24 + 6u] Solving 16 + -20u = -24 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 16 + -20u + -6u = -24 + 6u + -6u Combine like terms: -20u + -6u = -26u 16 + -26u = -24 + 6u + -6u Combine like terms: 6u + -6u = 0 16 + -26u = -24 + 0 16 + -26u = -24 Add '-16' to each side of the equation. 16 + -16 + -26u = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -26u = -24 + -16 -26u = -24 + -16 Combine like terms: -24 + -16 = -40 -26u = -40 Divide each side by '-26'. u = 1.538461538 Simplifying u = 1.538461538
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