(4-3j)+(-6+8j)+(7+10j)-(1-5j)=

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Solution for (4-3j)+(-6+8j)+(7+10j)-(1-5j)= equation:


Simplifying
(4 + -3j) + (-6 + 8j) + (7 + 10j) + -1(1 + -5j) = 0

Remove parenthesis around (4 + -3j)
4 + -3j + (-6 + 8j) + (7 + 10j) + -1(1 + -5j) = 0

Remove parenthesis around (-6 + 8j)
4 + -3j + -6 + 8j + (7 + 10j) + -1(1 + -5j) = 0

Remove parenthesis around (7 + 10j)
4 + -3j + -6 + 8j + 7 + 10j + -1(1 + -5j) = 0
4 + -3j + -6 + 8j + 7 + 10j + (1 * -1 + -5j * -1) = 0
4 + -3j + -6 + 8j + 7 + 10j + (-1 + 5j) = 0

Reorder the terms:
4 + -6 + 7 + -1 + -3j + 8j + 10j + 5j = 0

Combine like terms: 4 + -6 = -2
-2 + 7 + -1 + -3j + 8j + 10j + 5j = 0

Combine like terms: -2 + 7 = 5
5 + -1 + -3j + 8j + 10j + 5j = 0

Combine like terms: 5 + -1 = 4
4 + -3j + 8j + 10j + 5j = 0

Combine like terms: -3j + 8j = 5j
4 + 5j + 10j + 5j = 0

Combine like terms: 5j + 10j = 15j
4 + 15j + 5j = 0

Combine like terms: 15j + 5j = 20j
4 + 20j = 0

Solving
4 + 20j = 0

Solving for variable 'j'.

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

Add '-4' to each side of the equation.
4 + -4 + 20j = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 20j = 0 + -4
20j = 0 + -4

Combine like terms: 0 + -4 = -4
20j = -4

Divide each side by '20'.
j = -0.2

Simplifying
j = -0.2

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