11f+6=7(3f+18)

Solution for 11f+6=7(3f+18) equation:

Simplifying
11f + 6 = 7(3f + 18)

Reorder the terms:
6 + 11f = 7(3f + 18)

Reorder the terms:
6 + 11f = 7(18 + 3f)
6 + 11f = (18 * 7 + 3f * 7)
6 + 11f = (126 + 21f)

Solving
6 + 11f = 126 + 21f

Solving for variable 'f'.

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

Add '-21f' to each side of the equation.
6 + 11f + -21f = 126 + 21f + -21f

Combine like terms: 11f + -21f = -10f
6 + -10f = 126 + 21f + -21f

Combine like terms: 21f + -21f = 0
6 + -10f = 126 + 0
6 + -10f = 126

Add '-6' to each side of the equation.
6 + -6 + -10f = 126 + -6

Combine like terms: 6 + -6 = 0
0 + -10f = 126 + -6
-10f = 126 + -6

Combine like terms: 126 + -6 = 120
-10f = 120

Divide each side by '-10'.
f = -12

Simplifying
f = -12