a+3n+(3a-b)i=6+6i

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Solution for a+3n+(3a-b)i=6+6i equation:


Simplifying
a + 3n + (3a + -1b) * i = 6 + 6i

Reorder the terms for easier multiplication:
a + 3n + i(3a + -1b) = 6 + 6i
a + 3n + (3a * i + -1b * i) = 6 + 6i
a + 3n + (3ai + -1bi) = 6 + 6i

Reorder the terms:
a + 3ai + -1bi + 3n = 6 + 6i

Solving
a + 3ai + -1bi + 3n = 6 + 6i

Solving for variable 'a'.

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

Add 'bi' to each side of the equation.
a + 3ai + -1bi + bi + 3n = 6 + bi + 6i

Combine like terms: -1bi + bi = 0
a + 3ai + 0 + 3n = 6 + bi + 6i
a + 3ai + 3n = 6 + bi + 6i

Add '-3n' to each side of the equation.
a + 3ai + 3n + -3n = 6 + bi + 6i + -3n

Combine like terms: 3n + -3n = 0
a + 3ai + 0 = 6 + bi + 6i + -3n
a + 3ai = 6 + bi + 6i + -3n

Reorder the terms:
-6 + a + 3ai + -1bi + -6i + 3n = 6 + bi + 6i + -3n + -6 + -1bi + -6i + 3n

Reorder the terms:
-6 + a + 3ai + -1bi + -6i + 3n = 6 + -6 + bi + -1bi + 6i + -6i + -3n + 3n

Combine like terms: 6 + -6 = 0
-6 + a + 3ai + -1bi + -6i + 3n = 0 + bi + -1bi + 6i + -6i + -3n + 3n
-6 + a + 3ai + -1bi + -6i + 3n = bi + -1bi + 6i + -6i + -3n + 3n

Combine like terms: bi + -1bi = 0
-6 + a + 3ai + -1bi + -6i + 3n = 0 + 6i + -6i + -3n + 3n
-6 + a + 3ai + -1bi + -6i + 3n = 6i + -6i + -3n + 3n

Combine like terms: 6i + -6i = 0
-6 + a + 3ai + -1bi + -6i + 3n = 0 + -3n + 3n
-6 + a + 3ai + -1bi + -6i + 3n = -3n + 3n

Combine like terms: -3n + 3n = 0
-6 + a + 3ai + -1bi + -6i + 3n = 0

The solution to this equation could not be determined.

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