5(3j-1)-10j=-(2-7j)

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Solution for 5(3j-1)-10j=-(2-7j) equation:


Simplifying
5(3j + -1) + -10j = -1(2 + -7j)

Reorder the terms:
5(-1 + 3j) + -10j = -1(2 + -7j)
(-1 * 5 + 3j * 5) + -10j = -1(2 + -7j)
(-5 + 15j) + -10j = -1(2 + -7j)

Combine like terms: 15j + -10j = 5j
-5 + 5j = -1(2 + -7j)
-5 + 5j = (2 * -1 + -7j * -1)
-5 + 5j = (-2 + 7j)

Solving
-5 + 5j = -2 + 7j

Solving for variable 'j'.

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

Add '-7j' to each side of the equation.
-5 + 5j + -7j = -2 + 7j + -7j

Combine like terms: 5j + -7j = -2j
-5 + -2j = -2 + 7j + -7j

Combine like terms: 7j + -7j = 0
-5 + -2j = -2 + 0
-5 + -2j = -2

Add '5' to each side of the equation.
-5 + 5 + -2j = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -2j = -2 + 5
-2j = -2 + 5

Combine like terms: -2 + 5 = 3
-2j = 3

Divide each side by '-2'.
j = -1.5

Simplifying
j = -1.5

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