\[(8+2\imath )+(4+7\imath )\]

1
Remove parentheses.
8+2ı+4+7ı8+2\imath +4+7\imath

2
Collect like terms.
(8+4)+(2ı+7ı)(8+4)+(2\imath +7\imath )

3
Simplify.
12+9ı12+9\imath

Done

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