n= 11
question:
n+1= 4(n-8)
first step: distribute 4 through the parenthesis:
n+1= 4n-32
next step: move the variable to the left hand side and change the sign:
n-4n+1= -32
next step: collect the like terms:
-3n= -32-1
last step: divide both sides by -3:
-3n= -33
solution: n= 11
