What is the value of f in the equation below?

6f − 12 =−4f + 6

Simplifying

6f + -12 = 4f + 6

Reorder the terms:

-12 + 6f = 4f + 6

Reorder the terms:

-12 + 6f = 6 + 4f

Solving

-12 + 6f = 6 + 4f

Solving for variable 'f'.

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

Add '-4f' to each side of the equation.

-12 + 6f + -4f = 6 + 4f + -4f

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

-12 + 2f = 6 + 4f + -4f

Combine like terms: 4f + -4f = 0

-12 + 2f = 6 + 0

-12 + 2f = 6

Add '12' to each side of the equation.

-12 + 12 + 2f = 6 + 12

Combine like terms: -12 + 12 = 0

0 + 2f = 6 + 12

2f = 6 + 12

Combine like terms: 6 + 12 = 18

2f = 18

Divide each side by '2'.

f = 9

Simplifying

f = 9

Step-by-step explanation: