How do you solve #2+ 5( 3v - 3) = - 3( 2v - 1) + 7v#?

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Answer 1 · 2017-09-28T01:24:54

#v=3/14#

Solve for #v#:

#2+5(3v-3)=-3(2v-1)+7v#

Distribute.

#2+15v-15=-6v+3+7v#

Combine like terms:

#15v-13=v+3#

Add 13 on both sides:

#15v-13+13=v+3+13#

#15v=v+16#

Subtract #v# on both sides

#15v-v=v-v+3#

#14v=3#

Divide 14 on both sides:

#14v/14=3/14#

#v=3/14#