To solve for m, we first plug in the value of n into the equation. We have:
162m = 4n + 8
Substituting n = 8:
162m = 4(8) + 8
Calculating the right side:
162m = 32 + 8
162m = 40
Now, to isolate m, we divide both sides by 162:
m = 40 / 162
This fraction can be simplified by finding the greatest common divisor of 40 and 162, which is 2:
m = 20 / 81
Thus, the value of m is:
m = 20/81