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Simplifying 2u + -3 + 3(2u + 1) = -4(u + 4) Reorder the terms: 2u + -3 + 3(1 + 2u) = -4(u + 4) 2u + -3 + (1 * 3 + 2u * 3) = -4(u + 4) 2u + -3 + (3 + 6u) = -4(u + 4) Reorder the terms: -3 + 3 + 2u + 6u = -4(u + 4) Combine like terms: -3 + 3 = 0 0 + 2u + 6u = -4(u + 4) 2u + 6u = -4(u + 4) Combine like terms: 2u + 6u = 8u 8u = -4(u + 4) Reorder the terms: 8u = -4(4 + u) 8u = (4 * -4 + u * -4) 8u = (-16 + -4u) Solving 8u = -16 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 8u + 4u = -16 + -4u + 4u Combine like terms: 8u + 4u = 12u 12u = -16 + -4u + 4u Combine like terms: -4u + 4u = 0 12u = -16 + 0 12u = -16 Divide each side by '12'. u = -1.333333333 Simplifying u = -1.333333333
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