6.5(1j-5)=2(0.75-1j)

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Solution for 6.5(1j-5)=2(0.75-1j) equation: 


Simplifying
6.5(1j + -5) = 2(0.75 + -1j)

Reorder the terms:
6.5(-5 + 1j) = 2(0.75 + -1j)
(-5 * 6.5 + 1j * 6.5) = 2(0.75 + -1j)
(-32.5 + 6.5j) = 2(0.75 + -1j)
-32.5 + 6.5j = (0.75 * 2 + -1j * 2)
-32.5 + 6.5j = (1.5 + -2j)

Solving
-32.5 + 6.5j = 1.5 + -2j

Solving for variable 'j'.

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

Add '2j' to each side of the equation.
-32.5 + 6.5j + 2j = 1.5 + -2j + 2j

Combine like terms: 6.5j + 2j = 8.5j
-32.5 + 8.5j = 1.5 + -2j + 2j

Combine like terms: -2j + 2j = 0
-32.5 + 8.5j = 1.5 + 0
-32.5 + 8.5j = 1.5

Add '32.5' to each side of the equation.
-32.5 + 32.5 + 8.5j = 1.5 + 32.5

Combine like terms: -32.5 + 32.5 = 0.0
0.0 + 8.5j = 1.5 + 32.5
8.5j = 1.5 + 32.5

Combine like terms: 1.5 + 32.5 = 34
8.5j = 34

Divide each side by '8.5'.
j = 4

Simplifying
j = 4

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