-(f+5)+(4f+1)=-3(f+1)

Solution for -(f+5)+(4f+1)=-3(f+1) equation:

Simplifying
-1(f + 5) + (4f + 1) = -3(f + 1)

Reorder the terms:
-1(5 + f) + (4f + 1) = -3(f + 1)
(5 * -1 + f * -1) + (4f + 1) = -3(f + 1)
(-5 + -1f) + (4f + 1) = -3(f + 1)

Reorder the terms:
-5 + -1f + (1 + 4f) = -3(f + 1)

Remove parenthesis around (1 + 4f)
-5 + -1f + 1 + 4f = -3(f + 1)

Reorder the terms:
-5 + 1 + -1f + 4f = -3(f + 1)

Combine like terms: -5 + 1 = -4
-4 + -1f + 4f = -3(f + 1)

Combine like terms: -1f + 4f = 3f
-4 + 3f = -3(f + 1)

Reorder the terms:
-4 + 3f = -3(1 + f)
-4 + 3f = (1 * -3 + f * -3)
-4 + 3f = (-3 + -3f)

Solving
-4 + 3f = -3 + -3f

Solving for variable 'f'.

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

Add '3f' to each side of the equation.
-4 + 3f + 3f = -3 + -3f + 3f

Combine like terms: 3f + 3f = 6f
-4 + 6f = -3 + -3f + 3f

Combine like terms: -3f + 3f = 0
-4 + 6f = -3 + 0
-4 + 6f = -3

Add '4' to each side of the equation.
-4 + 4 + 6f = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 6f = -3 + 4
6f = -3 + 4

Combine like terms: -3 + 4 = 1
6f = 1

Divide each side by '6'.
f = 0.1666666667

Simplifying
f = 0.1666666667