-2f+6=4-[3f-2]

Solution for -2f+6=4-[3f-2] equation:

Simplifying
-2f + 6 = 4 + -1[3f + -2]

Reorder the terms:
6 + -2f = 4 + -1[3f + -2]

Reorder the terms:
6 + -2f = 4 + -1[-2 + 3f]
6 + -2f = 4 + [-2 * -1 + 3f * -1]
6 + -2f = 4 + [2 + -3f]

Combine like terms: 4 + 2 = 6
6 + -2f = 6 + -3f

Add '-6' to each side of the equation.
6 + -6 + -2f = 6 + -6 + -3f

Combine like terms: 6 + -6 = 0
0 + -2f = 6 + -6 + -3f
-2f = 6 + -6 + -3f

Combine like terms: 6 + -6 = 0
-2f = 0 + -3f
-2f = -3f

Solving
-2f = -3f

Solving for variable 'f'.

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

Add '3f' to each side of the equation.
-2f + 3f = -3f + 3f

Combine like terms: -2f + 3f = 1f
1f = -3f + 3f

Combine like terms: -3f + 3f = 0
1f = 0

Divide each side by '1'.
f = 0

Simplifying
f = 0