3z-iz(bars)=4+i

Solution for 3z-iz(bars)=4+i equation:

Simplifying
3z + -1iz(bars) = 4 + i

Multiply iz * abrs
3z + -1abirsz = 4 + i

Reorder the terms:
-1abirsz + 3z = 4 + i

Solving
-1abirsz + 3z = 4 + i

Solving for variable 'a'.

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

Add '-3z' to each side of the equation.
-1abirsz + 3z + -3z = 4 + i + -3z

Combine like terms: 3z + -3z = 0
-1abirsz + 0 = 4 + i + -3z
-1abirsz = 4 + i + -3z

Divide each side by '-1birsz'.
a = -4b-1i-1r-1s-1z-1 + -1b-1r-1s-1z-1 + 3b-1i-1r-1s-1

Simplifying
a = -4b-1i-1r-1s-1z-1 + -1b-1r-1s-1z-1 + 3b-1i-1r-1s-1

Reorder the terms:
a = 3b-1i-1r-1s-1 + -4b-1i-1r-1s-1z-1 + -1b-1r-1s-1z-1