(a+5)+3bi=5-2i

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Solution for (a+5)+3bi=5-2i equation:


Simplifying
(a + 5) + 3bi = 5 + -2i

Reorder the terms:
(5 + a) + 3bi = 5 + -2i

Remove parenthesis around (5 + a)
5 + a + 3bi = 5 + -2i

Add '-5' to each side of the equation.
5 + a + -5 + 3bi = 5 + -5 + -2i

Reorder the terms:
5 + -5 + a + 3bi = 5 + -5 + -2i

Combine like terms: 5 + -5 = 0
0 + a + 3bi = 5 + -5 + -2i
a + 3bi = 5 + -5 + -2i

Combine like terms: 5 + -5 = 0
a + 3bi = 0 + -2i
a + 3bi = -2i

Solving
a + 3bi = -2i

Solving for variable 'a'.

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

Add '-3bi' to each side of the equation.
a + 3bi + -3bi = -3bi + -2i

Combine like terms: 3bi + -3bi = 0
a + 0 = -3bi + -2i
a = -3bi + -2i

Simplifying
a = -3bi + -2i

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