(4-i)-(7+3i)=-3-4i

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Solution for (4-i)-(7+3i)=-3-4i equation: 


Simplifying
(4 + -1i) + -1(7 + 3i) = -3 + -4i

Remove parenthesis around (4 + -1i)
4 + -1i + -1(7 + 3i) = -3 + -4i
4 + -1i + (7 * -1 + 3i * -1) = -3 + -4i
4 + -1i + (-7 + -3i) = -3 + -4i

Reorder the terms:
4 + -7 + -1i + -3i = -3 + -4i

Combine like terms: 4 + -7 = -3
-3 + -1i + -3i = -3 + -4i

Combine like terms: -1i + -3i = -4i
-3 + -4i = -3 + -4i

Add '3' to each side of the equation.
-3 + 3 + -4i = -3 + 3 + -4i

Combine like terms: -3 + 3 = 0
0 + -4i = -3 + 3 + -4i
-4i = -3 + 3 + -4i

Combine like terms: -3 + 3 = 0
-4i = 0 + -4i
-4i = -4i

Add '4i' to each side of the equation.
-4i + 4i = -4i + 4i

Combine like terms: -4i + 4i = 0
0 = -4i + 4i

Combine like terms: -4i + 4i = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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