2(f+3)+45=6+6f

Solution for 2(f+3)+45=6+6f equation:

Simplifying
2(f + 3) + 45 = 6 + 6f

Reorder the terms:
2(3 + f) + 45 = 6 + 6f
(3 * 2 + f * 2) + 45 = 6 + 6f
(6 + 2f) + 45 = 6 + 6f

Reorder the terms:
6 + 45 + 2f = 6 + 6f

Combine like terms: 6 + 45 = 51
51 + 2f = 6 + 6f

Solving
51 + 2f = 6 + 6f

Solving for variable 'f'.

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

Add '-6f' to each side of the equation.
51 + 2f + -6f = 6 + 6f + -6f

Combine like terms: 2f + -6f = -4f
51 + -4f = 6 + 6f + -6f

Combine like terms: 6f + -6f = 0
51 + -4f = 6 + 0
51 + -4f = 6

Add '-51' to each side of the equation.
51 + -51 + -4f = 6 + -51

Combine like terms: 51 + -51 = 0
0 + -4f = 6 + -51
-4f = 6 + -51

Combine like terms: 6 + -51 = -45
-4f = -45

Divide each side by '-4'.
f = 11.25

Simplifying
f = 11.25