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Simplifying 3(2u + 3) = 5 + -4(3 + -1u) Reorder the terms: 3(3 + 2u) = 5 + -4(3 + -1u) (3 * 3 + 2u * 3) = 5 + -4(3 + -1u) (9 + 6u) = 5 + -4(3 + -1u) 9 + 6u = 5 + (3 * -4 + -1u * -4) 9 + 6u = 5 + (-12 + 4u) Combine like terms: 5 + -12 = -7 9 + 6u = -7 + 4u Solving 9 + 6u = -7 + 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. 9 + 6u + -4u = -7 + 4u + -4u Combine like terms: 6u + -4u = 2u 9 + 2u = -7 + 4u + -4u Combine like terms: 4u + -4u = 0 9 + 2u = -7 + 0 9 + 2u = -7 Add '-9' to each side of the equation. 9 + -9 + 2u = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 2u = -7 + -9 2u = -7 + -9 Combine like terms: -7 + -9 = -16 2u = -16 Divide each side by '2'. u = -8 Simplifying u = -8
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