3(f-2)=9f+6

Solution for 3(f-2)=9f+6 equation:

Simplifying
3(f + -2) = 9f + 6

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

Reorder the terms:
-6 + 3f = 6 + 9f

Solving
-6 + 3f = 6 + 9f

Solving for variable 'f'.

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

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

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

Combine like terms: 9f + -9f = 0
-6 + -6f = 6 + 0
-6 + -6f = 6

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

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

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

Divide each side by '-6'.
f = -2

Simplifying
f = -2