Answer:
After solving the equation [tex]0.4(20 - 10m) = 2.5 - 2m - 12.5[/tex] for m we get m=9
Step-by-step explanation:
We need to solve the equation [tex]0.4(20 - 10m) = 2.5 - 2m - 12.5[/tex] for m.
That is we need to find value of m.
Solving:
[tex]0.4(20 - 10m) = 2.5 - 2m - 12.5[/tex]
Multiply 0.4 with terms inside the bracket
[tex]8-4m=2.5-2m-12.5[/tex]
Now, adding 2m on both sides
[tex]8-4m+2m=2.5-2m-12.5+2m\\8-2m=2.5-12.5\\8-2m=-10[/tex]
Subtracting 8 from both sides
[tex]8-2m-8=-10-8\\-2m=-18[/tex]
Divide both sides by -2
[tex]\frac{-2m}{-2}=\frac{-18}{-2}\\m=9[/tex]
So, after solving the equation [tex]0.4(20 - 10m) = 2.5 - 2m - 12.5[/tex] for m we get m=9
