-3(t-2)-2(2t+1)=-3

Solution for -3(t-2)-2(2t+1)=-3 equation:

-3(t-2)-2 (2t+1)=-3

We simplify the equation to the form, which is simple to understand 
-3(t-2)-2(2t+1)=-3

Reorder the terms in parentheses
+(-3t+6)-2*(2t+1)=-3

Remove unnecessary parentheses
-3t+6-2+*(+2t+1+)=-3

Reorder the terms in parentheses
-3t+6+(-4t-2)=-3

Remove unnecessary parentheses
-3t+6-4t-2=-3

We move all terms containing t to the left and all other terms to the right. 
-3t-4t=-3-6+2

We simplify left and right side of the equation. 
-7t=-7

We divide both sides of the equation by -7 to get t. 
t=1