6+4(f-3)=-2(f+1)

Solution for 6+4(f-3)=-2(f+1) equation:

Simplifying
6 + 4(f + -3) = -2(f + 1)

Reorder the terms:
6 + 4(-3 + f) = -2(f + 1)
6 + (-3 * 4 + f * 4) = -2(f + 1)
6 + (-12 + 4f) = -2(f + 1)

Combine like terms: 6 + -12 = -6
-6 + 4f = -2(f + 1)

Reorder the terms:
-6 + 4f = -2(1 + f)
-6 + 4f = (1 * -2 + f * -2)
-6 + 4f = (-2 + -2f)

Solving
-6 + 4f = -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.
-6 + 4f + 2f = -2 + -2f + 2f

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

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

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

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

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

Divide each side by '6'.
f = 0.6666666667

Simplifying
f = 0.6666666667