6+17f=9(3f+14)

Solution for 6+17f=9(3f+14) equation:

Simplifying
6 + 17f = 9(3f + 14)

Reorder the terms:
6 + 17f = 9(14 + 3f)
6 + 17f = (14 * 9 + 3f * 9)
6 + 17f = (126 + 27f)

Solving
6 + 17f = 126 + 27f

Solving for variable 'f'.

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

Add '-27f' to each side of the equation.
6 + 17f + -27f = 126 + 27f + -27f

Combine like terms: 17f + -27f = -10f
6 + -10f = 126 + 27f + -27f

Combine like terms: 27f + -27f = 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