4(1-f)+3f=-2(f+1)

Solution for 4(1-f)+3f=-2(f+1) equation:

Simplifying
4(1 + -1f) + 3f = -2(f + 1)
(1 * 4 + -1f * 4) + 3f = -2(f + 1)
(4 + -4f) + 3f = -2(f + 1)

Combine like terms: -4f + 3f = -1f
4 + -1f = -2(f + 1)

Reorder the terms:
4 + -1f = -2(1 + f)
4 + -1f = (1 * -2 + f * -2)
4 + -1f = (-2 + -2f)

Solving
4 + -1f = -2 + -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.
4 + -1f + 2f = -2 + -2f + 2f

Combine like terms: -1f + 2f = 1f
4 + 1f = -2 + -2f + 2f

Combine like terms: -2f + 2f = 0
4 + 1f = -2 + 0
4 + 1f = -2

Add '-4' to each side of the equation.
4 + -4 + 1f = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1f = -2 + -4
1f = -2 + -4

Combine like terms: -2 + -4 = -6
1f = -6

Divide each side by '1'.
f = -6

Simplifying
f = -6