How do you solve #-5n-8(1+7n)=-8#?

3 Answers
Sep 29, 2017

#n=0#

Explanation:

#-5n-8(1-7n)=-8#
Open the brackets
#-5n-8+56n=-8#
Add both side 8
#-5n-8+56n+8=-8+8#
#51n=0#
#n=0#

Sep 29, 2017

#n=0#

Explanation:

#"distribute bracket and collect like terms"#

#-5n-8-56n=-8#

#rArr-61n-8=-8#

#"add 8 to both sides"#

#-61ncancel(-8)cancel(+8)=-8+8#

#rArr-61n=0#

#rArrn=0#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left "=0-8(1+0)=0-8=-8=" right"#

#rArrn=0" is the solution"#

Sep 29, 2017

#n=0#

Explanation:

#-5n-8(1+7n)=-8#

Expanding:
#-5n-8(1)-8(7n)=-8#
#=-5n-8-56n=-8#

Adding 8 to both sides:
#=-5ncancel(-8)cancel(+8)-56n=cancel(-8)cancel(+8)#
#=61n=0#

Dividing both sides by 61:
#(cancel61n)/cancel61=0/61=0#

#rArrn=0#