4-(7+6i)-(-8-I)=

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Solution for 4-(7+6i)-(-8-I)= equation:


Simplifying
4 + -1(7 + 6i) + -1(-8 + -1I) = 0
4 + (7 * -1 + 6i * -1) + -1(-8 + -1I) = 0
4 + (-7 + -6i) + -1(-8 + -1I) = 0
4 + -7 + -6i + (-8 * -1 + -1I * -1) = 0
4 + -7 + -6i + (8 + 1I) = 0

Reorder the terms:
4 + -7 + 8 + 1I + -6i = 0

Combine like terms: 4 + -7 = -3
-3 + 8 + 1I + -6i = 0

Combine like terms: -3 + 8 = 5
5 + 1I + -6i = 0

Solving
5 + 1I + -6i = 0

Solving for variable 'I'.

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

Add '-5' to each side of the equation.
5 + 1I + -5 + -6i = 0 + -5

Reorder the terms:
5 + -5 + 1I + -6i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1I + -6i = 0 + -5
1I + -6i = 0 + -5

Combine like terms: 0 + -5 = -5
1I + -6i = -5

Add '6i' to each side of the equation.
1I + -6i + 6i = -5 + 6i

Combine like terms: -6i + 6i = 0
1I + 0 = -5 + 6i
1I = -5 + 6i

Divide each side by '1'.
I = -5 + 6i

Simplifying
I = -5 + 6i

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