-17=-6+9(f-5)

Solution for -17=-6+9(f-5) equation:

Simplifying
-17 = -6 + 9(f + -5)

Reorder the terms:
-17 = -6 + 9(-5 + f)
-17 = -6 + (-5 * 9 + f * 9)
-17 = -6 + (-45 + 9f)

Combine like terms: -6 + -45 = -51
-17 = -51 + 9f

Solving
-17 = -51 + 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.
-17 + -9f = -51 + 9f + -9f

Combine like terms: 9f + -9f = 0
-17 + -9f = -51 + 0
-17 + -9f = -51

Add '17' to each side of the equation.
-17 + 17 + -9f = -51 + 17

Combine like terms: -17 + 17 = 0
0 + -9f = -51 + 17
-9f = -51 + 17

Combine like terms: -51 + 17 = -34
-9f = -34

Divide each side by '-9'.
f = 3.777777778

Simplifying
f = 3.777777778