6=2(j+1)-4

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

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

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

Reorder the terms:
6 = 2 + -4 + 2j

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

Solving
6 = -2 + 2j

Solving for variable 'j'.

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

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

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

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

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

Combine like terms: -2 + -6 = -8
-2j = -8

Divide each side by '-2'.
j = 4

Simplifying
j = 4