9(t+3)=3(t-2)

Solution for 9(t+3)=3(t-2) equation:

9(t+3)=3(t-2)

We simplify the equation to the form, which is simple to understand 
9(t+3)=3(t-2)

Reorder the terms in parentheses
+(+9t+27)=3*(t-2)

Remove unnecessary parentheses
+9t+27=+3+*(+t-2+)

Reorder the terms in parentheses
+9t+27=+(+3t-6)

Remove unnecessary parentheses
+9t+27=+3t-6

We move all terms containing t to the left and all other terms to the right. 
+9t-3t=-6-27

We simplify left and right side of the equation. 
+6t=-33

We divide both sides of the equation by 6 to get t. 
t=-5.5