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

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


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

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

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

Combine like terms: 4 + -2 = 2
60 + -20j + 4[2 + 3j] = 150j + -16
60 + -20j + [2 * 4 + 3j * 4] = 150j + -16
60 + -20j + [8 + 12j] = 150j + -16

Reorder the terms:
60 + 8 + -20j + 12j = 150j + -16

Combine like terms: 60 + 8 = 68
68 + -20j + 12j = 150j + -16

Combine like terms: -20j + 12j = -8j
68 + -8j = 150j + -16

Reorder the terms:
68 + -8j = -16 + 150j

Solving
68 + -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.
68 + -8j + -150j = -16 + 150j + -150j

Combine like terms: -8j + -150j = -158j
68 + -158j = -16 + 150j + -150j

Combine like terms: 150j + -150j = 0
68 + -158j = -16 + 0
68 + -158j = -16

Add '-68' to each side of the equation.
68 + -68 + -158j = -16 + -68

Combine like terms: 68 + -68 = 0
0 + -158j = -16 + -68
-158j = -16 + -68

Combine like terms: -16 + -68 = -84
-158j = -84

Divide each side by '-158'.
j = 0.5316455696

Simplifying
j = 0.5316455696

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