8(-13j+18)=6(-15j-4)-16j

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Solution for 8(-13j+18)=6(-15j-4)-16j equation:


Simplifying
8(-13j + 18) = 6(-15j + -4) + -16j

Reorder the terms:
8(18 + -13j) = 6(-15j + -4) + -16j
(18 * 8 + -13j * 8) = 6(-15j + -4) + -16j
(144 + -104j) = 6(-15j + -4) + -16j

Reorder the terms:
144 + -104j = 6(-4 + -15j) + -16j
144 + -104j = (-4 * 6 + -15j * 6) + -16j
144 + -104j = (-24 + -90j) + -16j

Combine like terms: -90j + -16j = -106j
144 + -104j = -24 + -106j

Solving
144 + -104j = -24 + -106j

Solving for variable 'j'.

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

Add '106j' to each side of the equation.
144 + -104j + 106j = -24 + -106j + 106j

Combine like terms: -104j + 106j = 2j
144 + 2j = -24 + -106j + 106j

Combine like terms: -106j + 106j = 0
144 + 2j = -24 + 0
144 + 2j = -24

Add '-144' to each side of the equation.
144 + -144 + 2j = -24 + -144

Combine like terms: 144 + -144 = 0
0 + 2j = -24 + -144
2j = -24 + -144

Combine like terms: -24 + -144 = -168
2j = -168

Divide each side by '2'.
j = -84

Simplifying
j = -84

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