Question: Decide whether the given number is a solution of the given equation. Is $-7$ a solution of $-9f = 70 - f$? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes, because replacing $f$ with $-7$ and simplifying the left side results in [ ] and simplifying the right side results in [ ]. B. No, because replacing $f$ with $-7$ and simplifying the left side results in [ ] and simplifying the right side results in [ ].

1. **State the problem:** We need to check if $-7$ is a solution to the equation $$-9f = 70 - f$$ by substituting $f = -7$ and comparing both sides. 2. **Substitute $f = -7$ into the left side:** $$-9f = -9 \times (-7) = 63$$ 3. **Substitute $f = -7$ into the right side:** $$70 - f = 70 - (-7) = 70 + 7 = 77$$ 4. **Compare both sides:** Left side = $63$ Right side = $77$ Since $63 \neq 77$, the two sides are not equal. 5. **Conclusion:** $-7$ is not a solution to the equation because substituting it does not satisfy the equality. **Final answer:** Choice B is correct: No, because replacing $f$ with $-7$ and simplifying the left side results in $63$ and simplifying the right side results in $77$.