(7+i)-(3+4i)=

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


Simplifying
(7 + i) + -1(3 + 4i) = 0

Remove parenthesis around (7 + i)
7 + i + -1(3 + 4i) = 0
7 + i + (3 * -1 + 4i * -1) = 0
7 + i + (-3 + -4i) = 0

Reorder the terms:
7 + -3 + i + -4i = 0

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

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

Solving
4 + -3i = 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 + -3i = 0 + -4

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

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

Divide each side by '-3'.
i = 1.333333333

Simplifying
i = 1.333333333

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