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

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Solution for (1+4i)-(-7-i)= equation:


Simplifying
(1 + 4i) + -1(-7 + -1i) = 0

Remove parenthesis around (1 + 4i)
1 + 4i + -1(-7 + -1i) = 0
1 + 4i + (-7 * -1 + -1i * -1) = 0
1 + 4i + (7 + 1i) = 0

Reorder the terms:
1 + 7 + 4i + 1i = 0

Combine like terms: 1 + 7 = 8
8 + 4i + 1i = 0

Combine like terms: 4i + 1i = 5i
8 + 5i = 0

Solving
8 + 5i = 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 + 5i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5i = 0 + -8
5i = 0 + -8

Combine like terms: 0 + -8 = -8
5i = -8

Divide each side by '5'.
i = -1.6

Simplifying
i = -1.6

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