2(2-j)=4(j-10)

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Solution for 2(2-j)=4(j-10) equation: 


Simplifying
2(2 + -1j) = 4(j + -10)
(2 * 2 + -1j * 2) = 4(j + -10)
(4 + -2j) = 4(j + -10)

Reorder the terms:
4 + -2j = 4(-10 + j)
4 + -2j = (-10 * 4 + j * 4)
4 + -2j = (-40 + 4j)

Solving
4 + -2j = -40 + 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.
4 + -2j + -4j = -40 + 4j + -4j

Combine like terms: -2j + -4j = -6j
4 + -6j = -40 + 4j + -4j

Combine like terms: 4j + -4j = 0
4 + -6j = -40 + 0
4 + -6j = -40

Add '-4' to each side of the equation.
4 + -4 + -6j = -40 + -4

Combine like terms: 4 + -4 = 0
0 + -6j = -40 + -4
-6j = -40 + -4

Combine like terms: -40 + -4 = -44
-6j = -44

Divide each side by '-6'.
j = 7.333333333

Simplifying
j = 7.333333333

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