j+10-2(j-20)=0

Solution for j+10-2(j-20)=0 equation:

Simplifying
j + 10 + -2(j + -20) = 0

Reorder the terms:
j + 10 + -2(-20 + j) = 0
j + 10 + (-20 * -2 + j * -2) = 0
j + 10 + (40 + -2j) = 0

Reorder the terms:
10 + 40 + j + -2j = 0

Combine like terms: 10 + 40 = 50
50 + j + -2j = 0

Combine like terms: j + -2j = -1j
50 + -1j = 0

Solving
50 + -1j = 0

Solving for variable 'j'.

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

Add '-50' to each side of the equation.
50 + -50 + -1j = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1j = 0 + -50
-1j = 0 + -50

Combine like terms: 0 + -50 = -50
-1j = -50

Divide each side by '-1'.
j = 50

Simplifying
j = 50