# How do you solve 6 + 2(3j - 2) = 4(1 + j) ?

May 10, 2017

$1 = j$

#### Explanation:

$6 + 2 \left(3 j - 2\right) = 4 \left(1 + j\right)$

$6 + 6 j - 4 = 4 + 4 j$

$6 j + 6 = 4 + 4 + 4 j$

$6 j + 6 = 8 + 4 j$

$6 j = 8 - 6 + 4 j$

$6 j = 2 + 4 j$

Since

$\left(x + 1\right) j = j + x j$

$6 j = 2 j + 4 j$

$\therefore 2 = 2 j$

$j = \frac{2}{2} = 1$