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\frac{2\left(2b+8\right)}{2}-\frac{3bc}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2b+8 times \frac{2}{2}.
\frac{2\left(2b+8\right)-3bc}{2}
Since \frac{2\left(2b+8\right)}{2} and \frac{3bc}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{4b+16-3bc}{2}
Do the multiplications in 2\left(2b+8\right)-3bc.
\frac{4b+16-3bc}{2}
Factor out \frac{1}{2}.