3(3f-2)=3(4f+1)

Solution for 3(3f-2)=3(4f+1) equation:

Simplifying
3(3f + -2) = 3(4f + 1)

Reorder the terms:
3(-2 + 3f) = 3(4f + 1)
(-2 * 3 + 3f * 3) = 3(4f + 1)
(-6 + 9f) = 3(4f + 1)

Reorder the terms:
-6 + 9f = 3(1 + 4f)
-6 + 9f = (1 * 3 + 4f * 3)
-6 + 9f = (3 + 12f)

Solving
-6 + 9f = 3 + 12f

Solving for variable 'f'.

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

Add '-12f' to each side of the equation.
-6 + 9f + -12f = 3 + 12f + -12f

Combine like terms: 9f + -12f = -3f
-6 + -3f = 3 + 12f + -12f

Combine like terms: 12f + -12f = 0
-6 + -3f = 3 + 0
-6 + -3f = 3

Add '6' to each side of the equation.
-6 + 6 + -3f = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -3f = 3 + 6
-3f = 3 + 6

Combine like terms: 3 + 6 = 9
-3f = 9

Divide each side by '-3'.
f = -3

Simplifying
f = -3