2(3i+4)=i-7

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


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

Reorder the terms:
2(4 + 3i) = i + -7
(4 * 2 + 3i * 2) = i + -7
(8 + 6i) = i + -7

Reorder the terms:
8 + 6i = -7 + i

Solving
8 + 6i = -7 + i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
8 + 6i + -1i = -7 + i + -1i

Combine like terms: 6i + -1i = 5i
8 + 5i = -7 + i + -1i

Combine like terms: i + -1i = 0
8 + 5i = -7 + 0
8 + 5i = -7

Add '-8' to each side of the equation.
8 + -8 + 5i = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 5i = -7 + -8
5i = -7 + -8

Combine like terms: -7 + -8 = -15
5i = -15

Divide each side by '5'.
i = -3

Simplifying
i = -3

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