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n^{2}+n\left(-\frac{1}{2}\right)-6n-6\left(-\frac{1}{2}\right)
Apply the distributive property by multiplying each term of n-6 by each term of n-\frac{1}{2}.
n^{2}-\frac{13}{2}n-6\left(-\frac{1}{2}\right)
Combine n\left(-\frac{1}{2}\right) and -6n to get -\frac{13}{2}n.
n^{2}-\frac{13}{2}n+\frac{-6\left(-1\right)}{2}
Express -6\left(-\frac{1}{2}\right) as a single fraction.
n^{2}-\frac{13}{2}n+\frac{6}{2}
Multiply -6 and -1 to get 6.
n^{2}-\frac{13}{2}n+3
Divide 6 by 2 to get 3.
n^{2}+n\left(-\frac{1}{2}\right)-6n-6\left(-\frac{1}{2}\right)
Apply the distributive property by multiplying each term of n-6 by each term of n-\frac{1}{2}.
n^{2}-\frac{13}{2}n-6\left(-\frac{1}{2}\right)
Combine n\left(-\frac{1}{2}\right) and -6n to get -\frac{13}{2}n.
n^{2}-\frac{13}{2}n+\frac{-6\left(-1\right)}{2}
Express -6\left(-\frac{1}{2}\right) as a single fraction.
n^{2}-\frac{13}{2}n+\frac{6}{2}
Multiply -6 and -1 to get 6.
n^{2}-\frac{13}{2}n+3
Divide 6 by 2 to get 3.