11f+2(f+1)=5f-6

Solution for 11f+2(f+1)=5f-6 equation:

Simplifying
11f + 2(f + 1) = 5f + -6

Reorder the terms:
11f + 2(1 + f) = 5f + -6
11f + (1 * 2 + f * 2) = 5f + -6
11f + (2 + 2f) = 5f + -6

Reorder the terms:
2 + 11f + 2f = 5f + -6

Combine like terms: 11f + 2f = 13f
2 + 13f = 5f + -6

Reorder the terms:
2 + 13f = -6 + 5f

Solving
2 + 13f = -6 + 5f

Solving for variable 'f'.

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

Add '-5f' to each side of the equation.
2 + 13f + -5f = -6 + 5f + -5f

Combine like terms: 13f + -5f = 8f
2 + 8f = -6 + 5f + -5f

Combine like terms: 5f + -5f = 0
2 + 8f = -6 + 0
2 + 8f = -6

Add '-2' to each side of the equation.
2 + -2 + 8f = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 8f = -6 + -2
8f = -6 + -2

Combine like terms: -6 + -2 = -8
8f = -8

Divide each side by '8'.
f = -1

Simplifying
f = -1