8-3(2-j)=-1-(j+7)

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Solution for 8-3(2-j)=-1-(j+7) equation: 


Simplifying
8 + -3(2 + -1j) = -1 + -1(j + 7)
8 + (2 * -3 + -1j * -3) = -1 + -1(j + 7)
8 + (-6 + 3j) = -1 + -1(j + 7)

Combine like terms: 8 + -6 = 2
2 + 3j = -1 + -1(j + 7)

Reorder the terms:
2 + 3j = -1 + -1(7 + j)
2 + 3j = -1 + (7 * -1 + j * -1)
2 + 3j = -1 + (-7 + -1j)

Combine like terms: -1 + -7 = -8
2 + 3j = -8 + -1j

Solving
2 + 3j = -8 + -1j

Solving for variable 'j'.

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

Add 'j' to each side of the equation.
2 + 3j + j = -8 + -1j + j

Combine like terms: 3j + j = 4j
2 + 4j = -8 + -1j + j

Combine like terms: -1j + j = 0
2 + 4j = -8 + 0
2 + 4j = -8

Add '-2' to each side of the equation.
2 + -2 + 4j = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 4j = -8 + -2
4j = -8 + -2

Combine like terms: -8 + -2 = -10
4j = -10

Divide each side by '4'.
j = -2.5

Simplifying
j = -2.5

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