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the correct answer is 19
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Let the 3 consecutive negative integers be N, N+1 and N+2
3*(N*(N+2)) = 2*(N*(N+1) + 32
3*N^2 + 6*N = 2*N^2 + 2*N + 32
N^2 +4*N - 32 = 0
(N + 8)*(N - 4) = 0
N = -8 or N = 4
Take the negative solution so the answer is -8, -7 and -6
Check: 3*(-8)*(-6) = 144
2*(-8)*(-7) = 112
144 - 112 = 32
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