6(f+1)+3n-6=3(n+2)

Solution for 6(f+1)+3n-6=3(n+2) equation:

Simplifying
6(f + 1) + 3n + -6 = 3(n + 2)

Reorder the terms:
6(1 + f) + 3n + -6 = 3(n + 2)
(1 * 6 + f * 6) + 3n + -6 = 3(n + 2)
(6 + 6f) + 3n + -6 = 3(n + 2)

Reorder the terms:
6 + -6 + 6f + 3n = 3(n + 2)

Combine like terms: 6 + -6 = 0
0 + 6f + 3n = 3(n + 2)
6f + 3n = 3(n + 2)

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

Add '-3n' to each side of the equation.
6f + 3n + -3n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
6f + 0 = 6 + 3n + -3n
6f = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
6f = 6 + 0
6f = 6

Solving
6f = 6

Solving for variable 'f'.

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

Divide each side by '6'.
f = 1

Simplifying
f = 1