Question

-9 (t-2)=4 (t-15) how is it solved

Answer 1

1. Expand
-9t + 18 = 4t - 60
2. Add 9t to both sides
18 = 4t - 60 + 9t
3. Simplify 4t - 60 + 9t to 13t - 60
18 = 13t - 60
4. Add 60 to both sides
18 + 60 = 13t
5. Simplify 18 + 60 to 78
78 = 13t
6, Divide both sides by 13
78/13 = t
7. Simplify 78/13 to 6
6 = t
8. Switch sides
t = 6

Answer 2

-9(t-2)=4(t-15) do the distributive property.
-9t+18=4t-60
     -18=4t-18
--------------------
     -9t=4t-78
    -4t=-4t-78
--------------------
    -13t=-78

 -13t            -78
-------   =   --------- 
 -13             -13
    
    t     =      6