# How do you solve #-6n-10=-2n+4(1-3n)#?

##### 2 Answers

#### Explanation:

This might look a little intimidating, but the process is fairly straightforward.

To begin, let's distribute the

From here, we should combine like-terms. That leaves us with

We need to isolate the variable, so our next step should be to move all the constants to one side and all the variables to the other.

Now we have

#### Explanation:

The first step is to distribute the bracket.

#rArr-6n-10=-2n+4-12n#

#rArr-6n-10=-14n+4# Collect terms in n on the left side and numeric values on the right side.

add 14n to both sides.

#-6n+14n-10=cancel(-14n)cancel(+14n)+4#

#rArr8n-10=4# add 10 to both sides.

#8ncancel(-10)cancel(+10)=4+10#

#rArr8n=14# divide both sides by 8

#(cancel(8) n)/cancel(8)=14/8#

#rArrn=14/8=7/4#

#color(blue)"As a check"# Substitute this value into the equation and if the left side equals the right side then it is the solution.

#"left side "=(-6xx7/4)-10=-21/2-10=-41/2#

#"right side "=(-2xx7/4)+4(1-3xx7/4)#

#color(white)(right sidexx)=-7/2+4(1-21/4)#

#color(white)(right sidexx)=-7/2-17=-41/2#

#rArrn=7/4" is the solution"#