3[2-(3j-6)]+4[6j-(1-2j)]=4-5j

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Solution for 3[2-(3j-6)]+4[6j-(1-2j)]=4-5j equation: 


Simplifying
3[2 + -1(3j + -6)] + 4[6j + -1(1 + -2j)] = 4 + -5j

Reorder the terms:
3[2 + -1(-6 + 3j)] + 4[6j + -1(1 + -2j)] = 4 + -5j
3[2 + (-6 * -1 + 3j * -1)] + 4[6j + -1(1 + -2j)] = 4 + -5j
3[2 + (6 + -3j)] + 4[6j + -1(1 + -2j)] = 4 + -5j

Combine like terms: 2 + 6 = 8
3[8 + -3j] + 4[6j + -1(1 + -2j)] = 4 + -5j
[8 * 3 + -3j * 3] + 4[6j + -1(1 + -2j)] = 4 + -5j
[24 + -9j] + 4[6j + -1(1 + -2j)] = 4 + -5j
24 + -9j + 4[6j + (1 * -1 + -2j * -1)] = 4 + -5j
24 + -9j + 4[6j + (-1 + 2j)] = 4 + -5j

Reorder the terms:
24 + -9j + 4[-1 + 6j + 2j] = 4 + -5j

Combine like terms: 6j + 2j = 8j
24 + -9j + 4[-1 + 8j] = 4 + -5j
24 + -9j + [-1 * 4 + 8j * 4] = 4 + -5j
24 + -9j + [-4 + 32j] = 4 + -5j

Reorder the terms:
24 + -4 + -9j + 32j = 4 + -5j

Combine like terms: 24 + -4 = 20
20 + -9j + 32j = 4 + -5j

Combine like terms: -9j + 32j = 23j
20 + 23j = 4 + -5j

Solving
20 + 23j = 4 + -5j

Solving for variable 'j'.

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

Add '5j' to each side of the equation.
20 + 23j + 5j = 4 + -5j + 5j

Combine like terms: 23j + 5j = 28j
20 + 28j = 4 + -5j + 5j

Combine like terms: -5j + 5j = 0
20 + 28j = 4 + 0
20 + 28j = 4

Add '-20' to each side of the equation.
20 + -20 + 28j = 4 + -20

Combine like terms: 20 + -20 = 0
0 + 28j = 4 + -20
28j = 4 + -20

Combine like terms: 4 + -20 = -16
28j = -16

Divide each side by '28'.
j = -0.5714285714

Simplifying
j = -0.5714285714

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