(a+6)+2bi=6-i

Solution for (a+6)+2bi=6-i equation:

Simplifying
(a + 6) + 2bi = 6 + -1i

Reorder the terms:
(6 + a) + 2bi = 6 + -1i

Remove parenthesis around (6 + a)
6 + a + 2bi = 6 + -1i

Add '-6' to each side of the equation.
6 + a + -6 + 2bi = 6 + -6 + -1i

Reorder the terms:
6 + -6 + a + 2bi = 6 + -6 + -1i

Combine like terms: 6 + -6 = 0
0 + a + 2bi = 6 + -6 + -1i
a + 2bi = 6 + -6 + -1i

Combine like terms: 6 + -6 = 0
a + 2bi = 0 + -1i
a + 2bi = -1i

Solving
a + 2bi = -1i

Solving for variable 'a'.

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

Add '-2bi' to each side of the equation.
a + 2bi + -2bi = -2bi + -1i

Combine like terms: 2bi + -2bi = 0
a + 0 = -2bi + -1i
a = -2bi + -1i

Simplifying
a = -2bi + -1i