To solve the equation 6m + 8 = 4 + 17m, we need to isolate the variable m.
First, let’s simplify the equation:
1. Subtract 6m from both sides:
6m + 8 – 6m = 4 + 17m – 6m
which simplifies to:
8 = 4 + 11m
2. Next, subtract 4 from both sides:
8 – 4 = 11m
This simplifies to:
4 = 11m
3. Now, divide both sides by 11 to solve for m:
m = 4 / 11
Thus, the solution for m is:
m = rac{4}{11}
This means that the value of m that satisfies the given equation is approximately 0.3636.