6(-3j+20)=-18-3(11j+19)

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Solution for 6(-3j+20)=-18-3(11j+19) equation:


Simplifying
6(-3j + 20) = -18 + -3(11j + 19)

Reorder the terms:
6(20 + -3j) = -18 + -3(11j + 19)
(20 * 6 + -3j * 6) = -18 + -3(11j + 19)
(120 + -18j) = -18 + -3(11j + 19)

Reorder the terms:
120 + -18j = -18 + -3(19 + 11j)
120 + -18j = -18 + (19 * -3 + 11j * -3)
120 + -18j = -18 + (-57 + -33j)

Combine like terms: -18 + -57 = -75
120 + -18j = -75 + -33j

Solving
120 + -18j = -75 + -33j

Solving for variable 'j'.

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

Add '33j' to each side of the equation.
120 + -18j + 33j = -75 + -33j + 33j

Combine like terms: -18j + 33j = 15j
120 + 15j = -75 + -33j + 33j

Combine like terms: -33j + 33j = 0
120 + 15j = -75 + 0
120 + 15j = -75

Add '-120' to each side of the equation.
120 + -120 + 15j = -75 + -120

Combine like terms: 120 + -120 = 0
0 + 15j = -75 + -120
15j = -75 + -120

Combine like terms: -75 + -120 = -195
15j = -195

Divide each side by '15'.
j = -13

Simplifying
j = -13

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