What is the solution to the equation 8 + 5f = -4 + 1 + 8f?

To solve the equation ( 8 + 5f = -4 + 1 + 8f ), we first simplify both sides:

1. Simplify the right side:

( -4 + 1 = -3 ), so the equation becomes:

( 8 + 5f = -3 + 8f ).

2. Next, we want to isolate ( f ). We can subtract ( 5f ) from both sides:

( 8 = -3 + 3f ).

3. Now, add ( 3 ) to both sides to isolate the term with ( f ):

( 8 + 3 = 3f ),

which simplifies to:

( 11 = 3f ).

4. Finally, divide both sides by ( 3 ) to solve for ( f ):

( f = frac{11}{3} ).

So, the solution is ( f = frac{11}{3} ).

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