Simplifying
7f + -3 + 2f = 9 + 6f
Reorder the terms:
-3 + 7f + 2f = 9 + 6f
Combine like terms: 7f + 2f = 9f
-3 + 9f = 9 + 6f
Solving
-3 + 9f = 9 + 6f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-6f' to each side of the equation.
-3 + 9f + -6f = 9 + 6f + -6f
Combine like terms: 9f + -6f = 3f
-3 + 3f = 9 + 6f + -6f
Combine like terms: 6f + -6f = 0
-3 + 3f = 9 + 0
-3 + 3f = 9
Add '3' to each side of the equation.
-3 + 3 + 3f = 9 + 3
Combine like terms: -3 + 3 = 0
0 + 3f = 9 + 3
3f = 9 + 3
Combine like terms: 9 + 3 = 12
3f = 12
Divide each side by '3'.
f = 4
Simplifying
f = 4