-2(5(2j-6)-7j)=5(3(j-2))

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Solution for -2(5(2j-6)-7j)=5(3(j-2)) equation:


Simplifying
-2(5(2j + -6) + -7j) = 5(3(j + -2))

Reorder the terms:
-2(5(-6 + 2j) + -7j) = 5(3(j + -2))
-2((-6 * 5 + 2j * 5) + -7j) = 5(3(j + -2))
-2((-30 + 10j) + -7j) = 5(3(j + -2))

Combine like terms: 10j + -7j = 3j
-2(-30 + 3j) = 5(3(j + -2))
(-30 * -2 + 3j * -2) = 5(3(j + -2))
(60 + -6j) = 5(3(j + -2))

Reorder the terms:
60 + -6j = 5(3(-2 + j))
60 + -6j = 5((-2 * 3 + j * 3))
60 + -6j = 5((-6 + 3j))
60 + -6j = (-6 * 5 + 3j * 5)
60 + -6j = (-30 + 15j)

Solving
60 + -6j = -30 + 15j

Solving for variable 'j'.

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

Add '-15j' to each side of the equation.
60 + -6j + -15j = -30 + 15j + -15j

Combine like terms: -6j + -15j = -21j
60 + -21j = -30 + 15j + -15j

Combine like terms: 15j + -15j = 0
60 + -21j = -30 + 0
60 + -21j = -30

Add '-60' to each side of the equation.
60 + -60 + -21j = -30 + -60

Combine like terms: 60 + -60 = 0
0 + -21j = -30 + -60
-21j = -30 + -60

Combine like terms: -30 + -60 = -90
-21j = -90

Divide each side by '-21'.
j = 4.285714286

Simplifying
j = 4.285714286

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