0.5(5-7j)=8-(4j+6)

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Solution for 0.5(5-7j)=8-(4j+6) equation: 


Simplifying
0.5(5 + -7j) = 8 + -1(4j + 6)
(5 * 0.5 + -7j * 0.5) = 8 + -1(4j + 6)
(2.5 + -3.5j) = 8 + -1(4j + 6)

Reorder the terms:
2.5 + -3.5j = 8 + -1(6 + 4j)
2.5 + -3.5j = 8 + (6 * -1 + 4j * -1)
2.5 + -3.5j = 8 + (-6 + -4j)

Combine like terms: 8 + -6 = 2
2.5 + -3.5j = 2 + -4j

Solving
2.5 + -3.5j = 2 + -4j

Solving for variable 'j'.

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

Add '4j' to each side of the equation.
2.5 + -3.5j + 4j = 2 + -4j + 4j

Combine like terms: -3.5j + 4j = 0.5j
2.5 + 0.5j = 2 + -4j + 4j

Combine like terms: -4j + 4j = 0
2.5 + 0.5j = 2 + 0
2.5 + 0.5j = 2

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5j = 2 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5j = 2 + -2.5
0.5j = 2 + -2.5

Combine like terms: 2 + -2.5 = -0.5
0.5j = -0.5

Divide each side by '0.5'.
j = -1

Simplifying
j = -1

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