[z-3i]+[z+3i]=10

Solution for [z-3i]+[z+3i]=10 equation:

Simplifying
[z + -3i] + [z + 3i] = 10

Reorder the terms:
[-3i + z] + [z + 3i] = 10

Remove brackets around [-3i + z]
-3i + z + [z + 3i] = 10

Reorder the terms:
-3i + z + [3i + z] = 10

Remove brackets around [3i + z]
-3i + z + 3i + z = 10

Reorder the terms:
-3i + 3i + z + z = 10

Combine like terms: -3i + 3i = 0
0 + z + z = 10
z + z = 10

Combine like terms: z + z = 2z
2z = 10

Solving
2z = 10

Solving for variable 'z'.

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

Divide each side by '2'.
z = 5

Simplifying
z = 5