6-(-5+4i)=(-13-i)

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Solution for 6-(-5+4i)=(-13-i) equation:


Simplifying
6 + -1(-5 + 4i) = (-13 + -1i)
6 + (-5 * -1 + 4i * -1) = (-13 + -1i)
6 + (5 + -4i) = (-13 + -1i)

Combine like terms: 6 + 5 = 11
11 + -4i = (-13 + -1i)

Remove parenthesis around (-13 + -1i)
11 + -4i = -13 + -1i

Solving
11 + -4i = -13 + -1i

Solving for variable 'i'.

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

Add 'i' to each side of the equation.
11 + -4i + i = -13 + -1i + i

Combine like terms: -4i + i = -3i
11 + -3i = -13 + -1i + i

Combine like terms: -1i + i = 0
11 + -3i = -13 + 0
11 + -3i = -13

Add '-11' to each side of the equation.
11 + -11 + -3i = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -3i = -13 + -11
-3i = -13 + -11

Combine like terms: -13 + -11 = -24
-3i = -24

Divide each side by '-3'.
i = 8

Simplifying
i = 8

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