Final answer:
The equation 5f - (3f + 1) = f + 4 is solved by first expanding the parentheses, then combining like terms, and finally isolating f to one side to find that f = 5.
Step-by-step explanation:
To solve the equation 5f - (3f + 1) = f + 4 for f, first expand the parentheses on the left-hand side:
5f - 3f - 1 = f + 4
Now, combine like terms on the left-hand side:
2f - 1 = f + 4
Next, subtract f from both sides to bring all terms involving f to the left-hand side and all other terms to the right-hand side:
f - 1 = 4
Finally, add 1 to both sides to solve for f:
f = 5