32=-3(1-k)-8(-8k+4)

Solution for 32=-3(1-k)-8(-8k+4) equation:

32=-3(1-k)-8(-8k+4)

We simplify the equation to the form, which is simple to understand 
32=-3(1-k)-8(-8k+4)

Reorder the terms in parentheses
32=+(-3+3k)-8*(-8k+4)

Remove unnecessary parentheses
+32=-3+3k-8+*(-8k+4+)

Reorder the terms in parentheses
32=-3+3k+(+64k-32)

Remove unnecessary parentheses
+32=-3+3k+64k-32

We move all terms containing k to the left and all other terms to the right. 
-3k-64k=-3-32-32

We simplify left and right side of the equation. 
-67k=-67

We divide both sides of the equation by -67 to get k. 
k=1