is z=-4 a solution to 3z = 4.5-z?yes or no

GIVEN
The equation is given:
[tex]3z=4.5-z[/tex]SOLUTION
To know if z = -4 is a solution, z = -4 is substituted into the equation. If a true statement is yielded, then it is a solution. Otherwise, it is not.
Substitute for z into the formula:
[tex]\begin{gathered} 3(-4)=4.5-(-4) \\ -12=8.5 \end{gathered}[/tex]This statement is false.
Therefore, z = -4 is not a solution.