WHAT IS(–6z – 2) /( 3.8X102)= 10

It is a badly written equation that could be solved to determine z. Is that what you are supposed to do?

Please use a ^ before exponents.
Is ( 3.8X102) supposed to be 3.8*10^2? That would be 380.

The next step would be to rewrite your equation as:
-6z -2 = 3800, and then
6z = -3802

You should be able to proceed from there