Question 14927
Okay. first you distribute to get rid of the parentheses, so you should get something that looks like this:
{{{(1/4)*7+(1/4)*3g=-g/8}}}
Then you multiply out the fractions
{{{7/4+(3/4)g=-g/8}}}
Move the g's to the right side
{{{7/4=(-g/8)-(3/4)g}}}
Then multiply everything by 8 to get rid of the ugly fractions.
{{{14=-g-6g}}}
{{{14=-7g}}}
{{{g=-2}}}
Check by plugging in -2 in G
{{{(1/4)*7+(1/4)*-6=2/8}}}
{{{7/4-3/2=1/4}}}
{{{7/4-6/4=1/4}}}
Since the statement is true, you know that the number you plugged in is true. 
Your final answer is -2.
Hope this helps!