-3(f-9)=4f-9f

Solution for -3(f-9)=4f-9f equation:

Simplifying
-3(f + -9) = 4f + -9f

Reorder the terms:
-3(-9 + f) = 4f + -9f
(-9 * -3 + f * -3) = 4f + -9f
(27 + -3f) = 4f + -9f

Combine like terms: 4f + -9f = -5f
27 + -3f = -5f

Solving
27 + -3f = -5f

Solving for variable 'f'.

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

Add '5f' to each side of the equation.
27 + -3f + 5f = -5f + 5f

Combine like terms: -3f + 5f = 2f
27 + 2f = -5f + 5f

Combine like terms: -5f + 5f = 0
27 + 2f = 0

Add '-27' to each side of the equation.
27 + -27 + 2f = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 2f = 0 + -27
2f = 0 + -27

Combine like terms: 0 + -27 = -27
2f = -27

Divide each side by '2'.
f = -13.5

Simplifying
f = -13.5