3(2-(3j-6))+4(6j-(j-2j))=4-5j

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


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

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

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

Combine like terms: j + -2j = -1j
24 + -9j + 4(6j + -1(-1j)) = 4 + -5j

Remove parenthesis around (-1j)
24 + -9j + 4(6j + -1 * -1j) = 4 + -5j

Multiply -1 * -1
24 + -9j + 4(6j + 1j) = 4 + -5j

Combine like terms: 6j + 1j = 7j
24 + -9j + 4(7j) = 4 + -5j

Remove parenthesis around (7j)
24 + -9j + 4 * 7j = 4 + -5j

Multiply 4 * 7
24 + -9j + 28j = 4 + -5j

Combine like terms: -9j + 28j = 19j
24 + 19j = 4 + -5j

Solving
24 + 19j = 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.
24 + 19j + 5j = 4 + -5j + 5j

Combine like terms: 19j + 5j = 24j
24 + 24j = 4 + -5j + 5j

Combine like terms: -5j + 5j = 0
24 + 24j = 4 + 0
24 + 24j = 4

Add '-24' to each side of the equation.
24 + -24 + 24j = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 24j = 4 + -24
24j = 4 + -24

Combine like terms: 4 + -24 = -20
24j = -20

Divide each side by '24'.
j = -0.8333333333

Simplifying
j = -0.8333333333

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