1. The problem asks to find the value of $m$ such that $m + m = 11$. 2. We start by writing the equation: $$m + m = 11$$ 3. Combine like terms on the left side: $$2m = 11$$ 4. To solve for $m$, divide both sides by 2: $$\frac{\cancel{2}m}{\cancel{2}} = \frac{11}{2}$$ 5. Simplifying, we get: $$m = \frac{11}{2}$$ 6. Therefore, the value of $m$ is $5.5$.