5(4j-2)-7(3j-4)=

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Solution for 5(4j-2)-7(3j-4)= equation:


Simplifying
5(4j + -2) + -7(3j + -4) = 0

Reorder the terms:
5(-2 + 4j) + -7(3j + -4) = 0
(-2 * 5 + 4j * 5) + -7(3j + -4) = 0
(-10 + 20j) + -7(3j + -4) = 0

Reorder the terms:
-10 + 20j + -7(-4 + 3j) = 0
-10 + 20j + (-4 * -7 + 3j * -7) = 0
-10 + 20j + (28 + -21j) = 0

Reorder the terms:
-10 + 28 + 20j + -21j = 0

Combine like terms: -10 + 28 = 18
18 + 20j + -21j = 0

Combine like terms: 20j + -21j = -1j
18 + -1j = 0

Solving
18 + -1j = 0

Solving for variable 'j'.

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

Add '-18' to each side of the equation.
18 + -18 + -1j = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1j = 0 + -18
-1j = 0 + -18

Combine like terms: 0 + -18 = -18
-1j = -18

Divide each side by '-1'.
j = 18

Simplifying
j = 18

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