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

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


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

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

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

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

Combine like terms: i + 1i = 2i
-1 + 2i = 0

Solving
-1 + 2i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 2i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2i = 0 + 1
2i = 0 + 1

Combine like terms: 0 + 1 = 1
2i = 1

Divide each side by '2'.
i = 0.5

Simplifying
i = 0.5

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