Question 126429
To solve this equation in terms of m, you must isolate m to one side of the equation.  To do so, see the following.

{{{-2m+4=29-7m}}}

First let us add 7m to both sides
{{{-2m+7m+4=29-7m+7m}}}={{{5m+4=29}}}

Second let us subtract 4 from both sides
{{{5m+4-4=29-4}}}={{{5m=25}}}

Third we divide each side by 5 to isolate the  variable m
{{{5m/5=25/5}}}={{{m=5}}}

Now that we have solved for m, let us check to see if that is the correct solution.

Substitute 5 for m in the original equation and solve following the order of operations.

{{{-2*5+4=29-7*5}}}

First do any  multiplication
{{{-2*5+4=29-7*5}}}={{{-10+4=29-35}}}

Then simplify any subtraction and/or addition

{{{-10+4=29-35}}}={{{-6=-6}}}

Since both sides of the equation equal, which is what is called for, then m=-6 is the correct answer.