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Simplifying -4(4u + -1) + 4u = 9 + 3(2u + -5) Reorder the terms: -4(-1 + 4u) + 4u = 9 + 3(2u + -5) (-1 * -4 + 4u * -4) + 4u = 9 + 3(2u + -5) (4 + -16u) + 4u = 9 + 3(2u + -5) Combine like terms: -16u + 4u = -12u 4 + -12u = 9 + 3(2u + -5) Reorder the terms: 4 + -12u = 9 + 3(-5 + 2u) 4 + -12u = 9 + (-5 * 3 + 2u * 3) 4 + -12u = 9 + (-15 + 6u) Combine like terms: 9 + -15 = -6 4 + -12u = -6 + 6u Solving 4 + -12u = -6 + 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. 4 + -12u + -6u = -6 + 6u + -6u Combine like terms: -12u + -6u = -18u 4 + -18u = -6 + 6u + -6u Combine like terms: 6u + -6u = 0 4 + -18u = -6 + 0 4 + -18u = -6 Add '-4' to each side of the equation. 4 + -4 + -18u = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -18u = -6 + -4 -18u = -6 + -4 Combine like terms: -6 + -4 = -10 -18u = -10 Divide each side by '-18'. u = 0.5555555556 Simplifying u = 0.5555555556
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