Question 98426
{{{(2m-6)-(3m-4)= -(-4+m)-4m+6}}} Start with the given equation



{{{2m-6-3m+4= 4-m-4m+6}}} Distribute the negative



{{{-m-2=4-m-4m+6}}} Combine like terms on the left side



{{{-m-2=-5m+10}}} Combine like terms on the right side



{{{-m=-5m+10+2}}}Add 2 to both sides



{{{-m+5m=10+2}}} Add 5m to both sides



{{{4m=10+2}}} Combine like terms on the left side



{{{4m=12}}} Combine like terms on the right side



{{{m=(12)/(4)}}} Divide both sides by 4 to isolate m




{{{m=3}}} Divide


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Answer:

So our answer is {{{m=3}}}