How do you solve #-4v - 3( 2+ 2v ) = 18+ 2v#?

1 Answer
Jim G.
Nov 19, 2016

#v=-2#

Explanation:

First step is to distribute the bracket on left side of the equation.

#rArr-4v-6-6v=18+2v#

Simplify left side by collecting like terms.

#rArr-10v-6=18+2v#

Collect terms in v on the left side and numeric values on the right side.

subtract 2v from both sides.

#-10v-2v-6=18cancel(+2v)cancel(-2v)#

#rArr-12v-6=18#

add 6 to both sides.

#-12vcancel(-6)cancel(+6)=18+6#

#rArr-12v=24#

To solve for v, divide both sides by - 12

#(cancel(-12) v)/cancel(-12)=24/(-12)#

#rArrv=-2" is the solution"#

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