Hey!
The first step to solving this problem equation would be to multiply both sides by two in order to simplify.
Original Equation :
[tex] \displaystyle\frac{5}{2} ( 4m + 2 ) = 35 [/tex]
New Equation {Added Multiply Both Sides by 2} :
[tex] \displaystyle\ 2 * \frac{5}{2} (4m + 2 ) = 35 * 2 [/tex]
New Equation {Multiplied Both Sides by 2} :
5 ( 4m + 2 ) = 70
Next we'll have to divide both sides of the equation by five. This simplify the equation even more which is going to get us closer to the value of m.
Old Equation :
5 ( 4m + 2 ) = 70
New Equation {Added Divide Both Sides by 5} :
[tex] \displaystyle\frac{5(4m+2)}{5} = \frac{70}{5} [/tex]
New Equation {Divided Both Sides by 5} :
4m + 2 = 14
Now we'll go ahead and subtract both sides by two.
Old Equation :
4m + 2 = 14
New Equation {Added Subtract Both Sides by 2} :
4m + 2 - 2 = 14 - 2
New Equation {Subtract Both Sides by 2} :
4m = 12
Finally, we'll have to go ahead and divide both sides of the equation by four. This will get the variable on its own and it'll give you the value of m.
Old Equation :
4m = 12
New Equation {Added Divide Both Sides by 4} :
[tex] \displaystyle\frac{4m}{4} = \frac{12}{4} [/tex]
New Equation {Divided Both Sides by 4} :
m = 3
So, since the value of m is now in its simplest form the final solution is m = 3.
Hope this helps!
- Lindsey Frazier ♥
