2+i+1+i-(2+3i+5-2i)=

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Solution for 2+i+1+i-(2+3i+5-2i)= equation:


Simplifying
2 + i + 1 + i + -1(2 + 3i + 5 + -2i) = 0

Reorder the terms:
2 + i + 1 + i + -1(2 + 5 + 3i + -2i) = 0

Combine like terms: 2 + 5 = 7
2 + i + 1 + i + -1(7 + 3i + -2i) = 0

Combine like terms: 3i + -2i = 1i
2 + i + 1 + i + -1(7 + 1i) = 0
2 + i + 1 + i + (7 * -1 + 1i * -1) = 0
2 + i + 1 + i + (-7 + -1i) = 0

Reorder the terms:
2 + 1 + -7 + i + i + -1i = 0

Combine like terms: 2 + 1 = 3
3 + -7 + i + i + -1i = 0

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

Combine like terms: i + i = 2i
-4 + 2i + -1i = 0

Combine like terms: 2i + -1i = 1i
-4 + 1i = 0

Solving
-4 + 1i = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 4 + 1i = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1i = 0 + 4
1i = 0 + 4

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

Divide each side by '1'.
i = 4

Simplifying
i = 4

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