(2+i)+(5+3i)=7+4

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Solution for (2+i)+(5+3i)=7+4 equation:


Simplifying
(2 + i) + (5 + 3i) = 7 + 4

Remove parenthesis around (2 + i)
2 + i + (5 + 3i) = 7 + 4

Remove parenthesis around (5 + 3i)
2 + i + 5 + 3i = 7 + 4

Reorder the terms:
2 + 5 + i + 3i = 7 + 4

Combine like terms: 2 + 5 = 7
7 + i + 3i = 7 + 4

Combine like terms: i + 3i = 4i
7 + 4i = 7 + 4

Combine like terms: 7 + 4 = 11
7 + 4i = 11

Solving
7 + 4i = 11

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -7 + 4i = 11 + -7

Combine like terms: 7 + -7 = 0
0 + 4i = 11 + -7
4i = 11 + -7

Combine like terms: 11 + -7 = 4
4i = 4

Divide each side by '4'.
i = 1

Simplifying
i = 1

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