(-5+7i)-(10-6i)=-15+i

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Solution for (-5+7i)-(10-6i)=-15+i equation: 


Simplifying
(-5 + 7i) + -1(10 + -6i) = -15 + i

Remove parenthesis around (-5 + 7i)
-5 + 7i + -1(10 + -6i) = -15 + i
-5 + 7i + (10 * -1 + -6i * -1) = -15 + i
-5 + 7i + (-10 + 6i) = -15 + i

Reorder the terms:
-5 + -10 + 7i + 6i = -15 + i

Combine like terms: -5 + -10 = -15
-15 + 7i + 6i = -15 + i

Combine like terms: 7i + 6i = 13i
-15 + 13i = -15 + i

Add '15' to each side of the equation.
-15 + 15 + 13i = -15 + 15 + i

Combine like terms: -15 + 15 = 0
0 + 13i = -15 + 15 + i
13i = -15 + 15 + i

Combine like terms: -15 + 15 = 0
13i = 0 + i
13i = i

Solving
13i = i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
13i + -1i = i + -1i

Combine like terms: 13i + -1i = 12i
12i = i + -1i

Combine like terms: i + -1i = 0
12i = 0

Divide each side by '12'.
i = 0

Simplifying
i = 0

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