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

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

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

Reorder the terms:
6 + 2(-1 + 4j) = 4(2 + j)
6 + (-1 * 2 + 4j * 2) = 4(2 + j)
6 + (-2 + 8j) = 4(2 + j)

Combine like terms: 6 + -2 = 4
4 + 8j = 4(2 + j)
4 + 8j = (2 * 4 + j * 4)
4 + 8j = (8 + 4j)

Solving
4 + 8j = 8 + 4j

Solving for variable 'j'.

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

Add '-4j' to each side of the equation.
4 + 8j + -4j = 8 + 4j + -4j

Combine like terms: 8j + -4j = 4j
4 + 4j = 8 + 4j + -4j

Combine like terms: 4j + -4j = 0
4 + 4j = 8 + 0
4 + 4j = 8

Add '-4' to each side of the equation.
4 + -4 + 4j = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 4j = 8 + -4
4j = 8 + -4

Combine like terms: 8 + -4 = 4
4j = 4

Divide each side by '4'.
j = 1

Simplifying
j = 1