6=6(f+7)+5f

Solution for 6=6(f+7)+5f equation:

Simplifying
6 = 6(f + 7) + 5f

Reorder the terms:
6 = 6(7 + f) + 5f
6 = (7 * 6 + f * 6) + 5f
6 = (42 + 6f) + 5f

Combine like terms: 6f + 5f = 11f
6 = 42 + 11f

Solving
6 = 42 + 11f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-11f' to each side of the equation.
6 + -11f = 42 + 11f + -11f

Combine like terms: 11f + -11f = 0
6 + -11f = 42 + 0
6 + -11f = 42

Add '-6' to each side of the equation.
6 + -6 + -11f = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -11f = 42 + -6
-11f = 42 + -6

Combine like terms: 42 + -6 = 36
-11f = 36

Divide each side by '-11'.
f = -3.272727273

Simplifying
f = -3.272727273