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Solve the equation 5f - (3f + 1) = f + 4 for f.

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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

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