Question 507533
It looks like you did everything right and you got the correct answer.
Let's check:
{{{8w-8-6w = 4w-7}}}  Now substitute your answer of {{{w = -1/2}}}
{{{8(-1/2)-8-6(-1/2) = 4(-1/2)-7}}} Evaluate.
{{{-4-8+3 = -2-7}}}
{{{-12+3 = -9}}}
{{{-9 = -9}}}
You did good!