Answer:
i = - 5
Explanation:
Given
2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side
2i - 3 = 12 - 2i + 7i
2i - 3 = 12 + 5i ( subtract 5i from both sides )
- 3i - 3 = 12 ( add 3 to both sides )
- 3i = 15 ( divide both sides by - 3 )
i = - 5