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

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


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

Reorder the terms:
2(-4 + 4j) = 3(3j + -5)
(-4 * 2 + 4j * 2) = 3(3j + -5)
(-8 + 8j) = 3(3j + -5)

Reorder the terms:
-8 + 8j = 3(-5 + 3j)
-8 + 8j = (-5 * 3 + 3j * 3)
-8 + 8j = (-15 + 9j)

Solving
-8 + 8j = -15 + 9j

Solving for variable 'j'.

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

Add '-9j' to each side of the equation.
-8 + 8j + -9j = -15 + 9j + -9j

Combine like terms: 8j + -9j = -1j
-8 + -1j = -15 + 9j + -9j

Combine like terms: 9j + -9j = 0
-8 + -1j = -15 + 0
-8 + -1j = -15

Add '8' to each side of the equation.
-8 + 8 + -1j = -15 + 8

Combine like terms: -8 + 8 = 0
0 + -1j = -15 + 8
-1j = -15 + 8

Combine like terms: -15 + 8 = -7
-1j = -7

Divide each side by '-1'.
j = 7

Simplifying
j = 7

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