(-5+6i)-(7-8i)=

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Solution for (-5+6i)-(7-8i)= equation:


Simplifying
(-5 + 6i) + -1(7 + -8i) = 0

Remove parenthesis around (-5 + 6i)
-5 + 6i + -1(7 + -8i) = 0
-5 + 6i + (7 * -1 + -8i * -1) = 0
-5 + 6i + (-7 + 8i) = 0

Reorder the terms:
-5 + -7 + 6i + 8i = 0

Combine like terms: -5 + -7 = -12
-12 + 6i + 8i = 0

Combine like terms: 6i + 8i = 14i
-12 + 14i = 0

Solving
-12 + 14i = 0

Solving for variable 'i'.

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

Add '12' to each side of the equation.
-12 + 12 + 14i = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 14i = 0 + 12
14i = 0 + 12

Combine like terms: 0 + 12 = 12
14i = 12

Divide each side by '14'.
i = 0.8571428571

Simplifying
i = 0.8571428571

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