(2+7i)-(-6-7i)=

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Solution for (2+7i)-(-6-7i)= equation:


Simplifying
(2 + 7i) + -1(-6 + -7i) = 0

Remove parenthesis around (2 + 7i)
2 + 7i + -1(-6 + -7i) = 0
2 + 7i + (-6 * -1 + -7i * -1) = 0
2 + 7i + (6 + 7i) = 0

Reorder the terms:
2 + 6 + 7i + 7i = 0

Combine like terms: 2 + 6 = 8
8 + 7i + 7i = 0

Combine like terms: 7i + 7i = 14i
8 + 14i = 0

Solving
8 + 14i = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + 14i = 0 + -8

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

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

Divide each side by '14'.
i = -0.5714285714

Simplifying
i = -0.5714285714

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