4[7-(5j-8)]+4[4j-(2-3j)]=150j-16

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Solution for 4[7-(5j-8)]+4[4j-(2-3j)]=150j-16 equation: 


Simplifying
4[7 + -1(5j + -8)] + 4[4j + -1(2 + -3j)] = 150j + -16

Reorder the terms:
4[7 + -1(-8 + 5j)] + 4[4j + -1(2 + -3j)] = 150j + -16
4[7 + (-8 * -1 + 5j * -1)] + 4[4j + -1(2 + -3j)] = 150j + -16
4[7 + (8 + -5j)] + 4[4j + -1(2 + -3j)] = 150j + -16

Combine like terms: 7 + 8 = 15
4[15 + -5j] + 4[4j + -1(2 + -3j)] = 150j + -16
[15 * 4 + -5j * 4] + 4[4j + -1(2 + -3j)] = 150j + -16
[60 + -20j] + 4[4j + -1(2 + -3j)] = 150j + -16
60 + -20j + 4[4j + (2 * -1 + -3j * -1)] = 150j + -16
60 + -20j + 4[4j + (-2 + 3j)] = 150j + -16

Reorder the terms:
60 + -20j + 4[-2 + 4j + 3j] = 150j + -16

Combine like terms: 4j + 3j = 7j
60 + -20j + 4[-2 + 7j] = 150j + -16
60 + -20j + [-2 * 4 + 7j * 4] = 150j + -16
60 + -20j + [-8 + 28j] = 150j + -16

Reorder the terms:
60 + -8 + -20j + 28j = 150j + -16

Combine like terms: 60 + -8 = 52
52 + -20j + 28j = 150j + -16

Combine like terms: -20j + 28j = 8j
52 + 8j = 150j + -16

Reorder the terms:
52 + 8j = -16 + 150j

Solving
52 + 8j = -16 + 150j

Solving for variable 'j'.

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

Add '-150j' to each side of the equation.
52 + 8j + -150j = -16 + 150j + -150j

Combine like terms: 8j + -150j = -142j
52 + -142j = -16 + 150j + -150j

Combine like terms: 150j + -150j = 0
52 + -142j = -16 + 0
52 + -142j = -16

Add '-52' to each side of the equation.
52 + -52 + -142j = -16 + -52

Combine like terms: 52 + -52 = 0
0 + -142j = -16 + -52
-142j = -16 + -52

Combine like terms: -16 + -52 = -68
-142j = -68

Divide each side by '-142'.
j = 0.4788732394

Simplifying
j = 0.4788732394

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