Question 1137257
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            As I understand this post,  the visitor asks to check if his  (or her)  solution is correct.



<pre>
-3*(t-2) = 12


-3t + (-3)*(-2) = 12


-3t + 6 = 12


-3t + 6 - 6 = 12 - 6


-3t = 6


Divide both sides by (-3)


t = {{{6/(-3)}}}


t = -2.


<U>ANSWER</U>.  t= -2.


<U>CHECK</U>.  Substitute t= -2 into the given equation. You will get in the left side 

        -3*((-2) -2) = -3*(-4) = 12.   ! Correct !
</pre>


Solved and checked.


The solution in your post is INCORRECT.


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To learn on how to solve simple linear equations, look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/How-to-solve-a-linear-equation.lesson>HOW TO solve a linear equation</A>

in this site.