-14=7(3i-8)-12i+15

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Solution for -14=7(3i-8)-12i+15 equation:


Simplifying
-14 = 7(3i + -8) + -12i + 15

Reorder the terms:
-14 = 7(-8 + 3i) + -12i + 15
-14 = (-8 * 7 + 3i * 7) + -12i + 15
-14 = (-56 + 21i) + -12i + 15

Reorder the terms:
-14 = -56 + 15 + 21i + -12i

Combine like terms: -56 + 15 = -41
-14 = -41 + 21i + -12i

Combine like terms: 21i + -12i = 9i
-14 = -41 + 9i

Solving
-14 = -41 + 9i

Solving for variable 'i'.

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

Add '-9i' to each side of the equation.
-14 + -9i = -41 + 9i + -9i

Combine like terms: 9i + -9i = 0
-14 + -9i = -41 + 0
-14 + -9i = -41

Add '14' to each side of the equation.
-14 + 14 + -9i = -41 + 14

Combine like terms: -14 + 14 = 0
0 + -9i = -41 + 14
-9i = -41 + 14

Combine like terms: -41 + 14 = -27
-9i = -27

Divide each side by '-9'.
i = 3

Simplifying
i = 3

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