How do you solve #-8( - 2- 5n ) - ( - 6n + 2) = 14#?

3 Answers
Jan 12, 2018

#n=0#

Explanation:

1) Multiply into the brackets.
#-8(-2-5n)-(-6n+2)=16+40n+6n-2=14#

2) Combine like terms
#16+40n+6n-2=46n+14=14#

Solve using opposite operations
#46n+14=14#

#46n+14-color(red)(14)=14-color(red)(14)#

#46n=0#

#(46n)/color(red)(46)=0/color(red)(46)#

#n=0#

Jan 12, 2018

#n=0#

Explanation:

#-8(-2-5n)-(-6n+2)=14#

#16+40n+6n-2=14#

Combine like-terms

#46n+14=14#

#46n=0#

#n=0/46=0#

Jan 12, 2018

#n=0#

Explanation:

#"distribute the brackets on left side of equation"#

#16+40n+6n-2=14#

#rArr46n+14=14#

#"subtract 14 from both sides"#

#46ncancel(+14)cancel(-14)=14-14#

#rArr46n=0rArrn=0#

#color(blue)"As a check"#

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

#-8(-2)-(+2)=16-2=14#

#rArrn=0" is the solution"#