-2(j-3)=j+6

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

Simplifying
-2(j + -3) = j + 6

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

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

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

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

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

Solving
-2j = j

Solving for variable 'j'.

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

Add '-1j' to each side of the equation.
-2j + -1j = j + -1j

Combine like terms: -2j + -1j = -3j
-3j = j + -1j

Combine like terms: j + -1j = 0
-3j = 0

Divide each side by '-3'.
j = 0

Simplifying
j = 0