-17a+4(a-7)=-3(3a-1)+1

Solution for -17a+4(a-7)=-3(3a-1)+1 equation:

-17a+4(a-7)=-3(3a-1)+1

We simplify the equation to the form, which is simple to understand 
-17a+4(a-7)=-3(3a-1)+1

Reorder the terms in parentheses
-17a+(+4a-28)=-3*(3a-1)+1

Remove unnecessary parentheses
-17a+4a-28=-3+*(+3a-1+)+1

Reorder the terms in parentheses
-17a+4a-28=+(-9a+3)+1

Remove unnecessary parentheses
-17a+4a-28=-9a+3+1

We move all terms containing a to the left and all other terms to the right. 
-17a+4a+9a=+3+1+28

We simplify left and right side of the equation. 
-4a=+32

We divide both sides of the equation by -4 to get a. 
a=-8