-2z+10+7z=16z+7
first, group all numbers with the same variable. So it becomes:
-2z+7z+10=16z+7
The right hand side has variable z, so move it to the left hand side. The sign will change if you move it to the other side. So it becomes:
-2z+7z-16z+10=7
We need to group those numbers with variable on one side and the integers alone on the other side. It becomes:
-2z+7z-16z=7-10
You can compute it directly, or if you still can't see it you may factorise it first:
(-2+7-16)z = 7-10
Then:
(-11)z = -3
Make z as a subject:
z= -3/-11
z= 3/11
The minus sign canceled out each other. Thus is becomes positive.