1. **State the problem:** Solve for $f$ in the equation $2f + 22 = 90$. 2. **Formula and rules:** This is a linear equation. To solve for $f$, isolate $f$ by performing inverse operations. 3. **Subtract 22 from both sides:** $$2f + 22 - 22 = 90 - 22$$ $$2f = 68$$ 4. **Divide both sides by 2 to isolate $f$:** $$\frac{\cancel{2}f}{\cancel{2}} = \frac{68}{2}$$ $$f = 34$$ 5. **Interpretation:** The measure of angle $f$ is $34$ degrees. 6. **Check:** Substitute $f=34$ back into the original equation: $$2(34) + 22 = 68 + 22 = 90$$ which is true. **Final answer:** $f = 34$ degrees.