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

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Answer 1 · 2017-02-12T23:02:42

#m=3/5#

Solve #-4(2m-3)=2(m+3)#

Expand both sides using the distributive property, #a(b+c)=ab+ac#.

#-8m+12=2m+6#

Subtract #12# from both sides of the equation.

#-8m=2m+6-12#

#-8m=2m-6#

Subtract #2m# from both sides.

#-2m-8m=-6#

#-10m=-6#

Divide both sides by #-10#.

#m=(-6)/(-10)#

A negative divided by a negative becomes a positive.

#m=6/10#

Simplify.

#m=3/5#