-5(-40.3j+28.88)-19.5j=-5(-36.7j+89.03)

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Solution for -5(-40.3j+28.88)-19.5j=-5(-36.7j+89.03) equation: 


Simplifying
-5(-40.3j + 28.88) + -19.5j = -5(-36.7j + 89.03)

Reorder the terms:
-5(28.88 + -40.3j) + -19.5j = -5(-36.7j + 89.03)
(28.88 * -5 + -40.3j * -5) + -19.5j = -5(-36.7j + 89.03)
(-144.4 + 201.5j) + -19.5j = -5(-36.7j + 89.03)

Combine like terms: 201.5j + -19.5j = 182j
-144.4 + 182j = -5(-36.7j + 89.03)

Reorder the terms:
-144.4 + 182j = -5(89.03 + -36.7j)
-144.4 + 182j = (89.03 * -5 + -36.7j * -5)
-144.4 + 182j = (-445.15 + 183.5j)

Solving
-144.4 + 182j = -445.15 + 183.5j

Solving for variable 'j'.

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

Add '-183.5j' to each side of the equation.
-144.4 + 182j + -183.5j = -445.15 + 183.5j + -183.5j

Combine like terms: 182j + -183.5j = -1.5j
-144.4 + -1.5j = -445.15 + 183.5j + -183.5j

Combine like terms: 183.5j + -183.5j = 0.0
-144.4 + -1.5j = -445.15 + 0.0
-144.4 + -1.5j = -445.15

Add '144.4' to each side of the equation.
-144.4 + 144.4 + -1.5j = -445.15 + 144.4

Combine like terms: -144.4 + 144.4 = 0.0
0.0 + -1.5j = -445.15 + 144.4
-1.5j = -445.15 + 144.4

Combine like terms: -445.15 + 144.4 = -300.75
-1.5j = -300.75

Divide each side by '-1.5'.
j = 200.5

Simplifying
j = 200.5

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