Is - 7 a solution of the equation 6 + z = z + 5

No

Step-by-step explanation:

Not only is - 7 not a solution, but when solving for z:

6+z = z+5

6+z-z=5

6=5

6 is not equal to 5 so there is no solution

No

Step-by-step explanation:

If - 7 is a solution, then you could just plug z=-7 into 6 + z = z + 5.

So:

6 + (-7) = - 7 + 5

-1 = - 2

-1 can't equal to - 2 and it will never equal. So if both sides of the equation don't equal, then - 7 is not a solution.