[tex]6\alpha + 6 = 60[/tex]
Subtract 6 on both sides
[tex]6\alpha + 6 -6= 60-6[/tex]
[tex]6\alpha= 60-6[/tex]
[tex]6\alpha= 54[/tex]
Divide by 6 on both sides.
[tex] \frac{6\alpha}{6} =\frac{54}{6}\\\\ \alpha = \frac{54}{6}\\\\\boxed{\bf{\alpha = 9}}[/tex]