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

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

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

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

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

Solving
2 + 6f = 4 + 4j

Solving for variable 'f'.

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

Add '-2' to each side of the equation.
2 + -2 + 6f = 4 + -2 + 4j

Combine like terms: 2 + -2 = 0
0 + 6f = 4 + -2 + 4j
6f = 4 + -2 + 4j

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

Divide each side by '6'.
f = 0.3333333333 + 0.6666666667j

Simplifying
f = 0.3333333333 + 0.6666666667j