4+(3i+1)=4i+6

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Solution for 4+(3i+1)=4i+6 equation:


Simplifying
4 + (3i + 1) = 4i + 6

Reorder the terms:
4 + (1 + 3i) = 4i + 6

Remove parenthesis around (1 + 3i)
4 + 1 + 3i = 4i + 6

Combine like terms: 4 + 1 = 5
5 + 3i = 4i + 6

Reorder the terms:
5 + 3i = 6 + 4i

Solving
5 + 3i = 6 + 4i

Solving for variable 'i'.

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

Add '-4i' to each side of the equation.
5 + 3i + -4i = 6 + 4i + -4i

Combine like terms: 3i + -4i = -1i
5 + -1i = 6 + 4i + -4i

Combine like terms: 4i + -4i = 0
5 + -1i = 6 + 0
5 + -1i = 6

Add '-5' to each side of the equation.
5 + -5 + -1i = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -1i = 6 + -5
-1i = 6 + -5

Combine like terms: 6 + -5 = 1
-1i = 1

Divide each side by '-1'.
i = -1

Simplifying
i = -1

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