9f+(-2f+6)=3f+(5-6f)-(-5f-18)

Solution for 9f+(-2f+6)=3f+(5-6f)-(-5f-18) equation:

Simplifying
9f + (-2f + 6) = 3f + (5 + -6f) + -1(-5f + -18)

Reorder the terms:
9f + (6 + -2f) = 3f + (5 + -6f) + -1(-5f + -18)

Remove parenthesis around (6 + -2f)
9f + 6 + -2f = 3f + (5 + -6f) + -1(-5f + -18)

Reorder the terms:
6 + 9f + -2f = 3f + (5 + -6f) + -1(-5f + -18)

Combine like terms: 9f + -2f = 7f
6 + 7f = 3f + (5 + -6f) + -1(-5f + -18)

Remove parenthesis around (5 + -6f)
6 + 7f = 3f + 5 + -6f + -1(-5f + -18)

Reorder the terms:
6 + 7f = 3f + 5 + -6f + -1(-18 + -5f)
6 + 7f = 3f + 5 + -6f + (-18 * -1 + -5f * -1)
6 + 7f = 3f + 5 + -6f + (18 + 5f)

Reorder the terms:
6 + 7f = 5 + 18 + 3f + -6f + 5f

Combine like terms: 5 + 18 = 23
6 + 7f = 23 + 3f + -6f + 5f

Combine like terms: 3f + -6f = -3f
6 + 7f = 23 + -3f + 5f

Combine like terms: -3f + 5f = 2f
6 + 7f = 23 + 2f

Solving
6 + 7f = 23 + 2f

Solving for variable 'f'.

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

Add '-2f' to each side of the equation.
6 + 7f + -2f = 23 + 2f + -2f

Combine like terms: 7f + -2f = 5f
6 + 5f = 23 + 2f + -2f

Combine like terms: 2f + -2f = 0
6 + 5f = 23 + 0
6 + 5f = 23

Add '-6' to each side of the equation.
6 + -6 + 5f = 23 + -6

Combine like terms: 6 + -6 = 0
0 + 5f = 23 + -6
5f = 23 + -6

Combine like terms: 23 + -6 = 17
5f = 17

Divide each side by '5'.
f = 3.4

Simplifying
f = 3.4