41.6j-15.2=7.1(2.3j-8)

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Solution for 41.6j-15.2=7.1(2.3j-8) equation: 


Simplifying
41.6j + -15.2 = 7.1(2.3j + -8)

Reorder the terms:
-15.2 + 41.6j = 7.1(2.3j + -8)

Reorder the terms:
-15.2 + 41.6j = 7.1(-8 + 2.3j)
-15.2 + 41.6j = (-8 * 7.1 + 2.3j * 7.1)
-15.2 + 41.6j = (-56.8 + 16.33j)

Solving
-15.2 + 41.6j = -56.8 + 16.33j

Solving for variable 'j'.

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

Add '-16.33j' to each side of the equation.
-15.2 + 41.6j + -16.33j = -56.8 + 16.33j + -16.33j

Combine like terms: 41.6j + -16.33j = 25.27j
-15.2 + 25.27j = -56.8 + 16.33j + -16.33j

Combine like terms: 16.33j + -16.33j = 0.00
-15.2 + 25.27j = -56.8 + 0.00
-15.2 + 25.27j = -56.8

Add '15.2' to each side of the equation.
-15.2 + 15.2 + 25.27j = -56.8 + 15.2

Combine like terms: -15.2 + 15.2 = 0.0
0.0 + 25.27j = -56.8 + 15.2
25.27j = -56.8 + 15.2

Combine like terms: -56.8 + 15.2 = -41.6
25.27j = -41.6

Divide each side by '25.27'.
j = -1.646220815

Simplifying
j = -1.646220815

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