Answer: z=4
Explanation:
5(z+6) - 10 = 10z
The first step is to distribute the 5 to the inside of the parenthesis. So,
5*z = 5z , 5*6 = 30 .
Now the equation has become 5z+30-10=10z. Next, the like terms can be reduced. So,
30-10= 20
The equation is: 5z+20=10z, 5z will be subtracted on both sides, canceling one side out.
5z-5z=0 , 10z-5z=5z
: 20=5z
The last step is to isolate the variable by dividing 5 on both sides.
5/5 = 0 , 20/5 = 4
Therefore, z=4