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\frac{z}{2}+\frac{3\times 2}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2}{2}.
\frac{z+3\times 2}{2}
Since \frac{z}{2} and \frac{3\times 2}{2} have the same denominator, add them by adding their numerators.
\frac{z+6}{2}
Do the multiplications in z+3\times 2.
\frac{z+6}{2}
Factor out \frac{1}{2}.