3a+(4b+-2)*I=9-6i

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Solution for 3a+(4b+-2)*I=9-6i equation: 


Simplifying
3a + (4b + -2) * I = 9 + -6i

Reorder the terms:
3a + (-2 + 4b) * I = 9 + -6i

Reorder the terms for easier multiplication:
3a + I(-2 + 4b) = 9 + -6i
3a + (-2 * I + 4b * I) = 9 + -6i
3a + (-2I + 4bI) = 9 + -6i

Reorder the terms:
-2I + 3a + 4bI = 9 + -6i

Solving
-2I + 3a + 4bI = 9 + -6i

Solving for variable 'I'.

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

Add '-3a' to each side of the equation.
-2I + 3a + -3a + 4bI = 9 + -3a + -6i

Combine like terms: 3a + -3a = 0
-2I + 0 + 4bI = 9 + -3a + -6i
-2I + 4bI = 9 + -3a + -6i

Reorder the terms:
-9 + -2I + 3a + 4bI + 6i = 9 + -3a + -6i + -9 + 3a + 6i

Reorder the terms:
-9 + -2I + 3a + 4bI + 6i = 9 + -9 + -3a + 3a + -6i + 6i

Combine like terms: 9 + -9 = 0
-9 + -2I + 3a + 4bI + 6i = 0 + -3a + 3a + -6i + 6i
-9 + -2I + 3a + 4bI + 6i = -3a + 3a + -6i + 6i

Combine like terms: -3a + 3a = 0
-9 + -2I + 3a + 4bI + 6i = 0 + -6i + 6i
-9 + -2I + 3a + 4bI + 6i = -6i + 6i

Combine like terms: -6i + 6i = 0
-9 + -2I + 3a + 4bI + 6i = 0

The solution to this equation could not be determined.

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