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

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


Simplifying
5(4 + -3j) = -2(3j + -5)
(4 * 5 + -3j * 5) = -2(3j + -5)
(20 + -15j) = -2(3j + -5)

Reorder the terms:
20 + -15j = -2(-5 + 3j)
20 + -15j = (-5 * -2 + 3j * -2)
20 + -15j = (10 + -6j)

Solving
20 + -15j = 10 + -6j

Solving for variable 'j'.

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

Add '6j' to each side of the equation.
20 + -15j + 6j = 10 + -6j + 6j

Combine like terms: -15j + 6j = -9j
20 + -9j = 10 + -6j + 6j

Combine like terms: -6j + 6j = 0
20 + -9j = 10 + 0
20 + -9j = 10

Add '-20' to each side of the equation.
20 + -20 + -9j = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -9j = 10 + -20
-9j = 10 + -20

Combine like terms: 10 + -20 = -10
-9j = -10

Divide each side by '-9'.
j = 1.111111111

Simplifying
j = 1.111111111

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