We are given the following expression to simplify
[tex]-\frac{1}{4}(3g-6-5g)[/tex]Step 1:
Simplify the parenthesis first
[tex]\begin{gathered} -\frac{1}{4}(3g-5g-6) \\ -\frac{1}{4}(-2g-6) \end{gathered}[/tex]Step 2:
Expand the parenthesis, multiply -1/4 with each term inside the parenthesis.
[tex]\begin{gathered} -\frac{1}{4}(-2g-6) \\ (-\frac{1}{4}\times-2g)+(-\frac{1}{4}\times-6) \\ (\frac{2g}{4})+(\frac{6}{4}) \\ \frac{g}{2}+\frac{3}{2} \end{gathered}[/tex]Therefore, this is the simplified expression.
[tex]\frac{g}{2}+\frac{3}{2}[/tex]Please note that it may also be written in the following form.
[tex]\frac{1}{2}(g+3)[/tex]