Let's simplify the expression step by step:
-
Start with the expression: \[ (f - 7) - (-6f + 1) \]
-
Distribute the negative sign across the second set of parentheses: \[ f - 7 + 6f - 1 \]
-
Now combine like terms:
-
Combine \(f\) and \(6f\): \[ f + 6f = 7f \]
-
Combine the constants \(-7\) and \(-1\): \[ -7 - 1 = -8 \]
-
-
Therefore, the final simplified expression is: \[ 7f - 8 \]
So, the result of \((f - 7) - (-6f + 1)\) is: \[ \boxed{7f - 8} \]