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3(4i+3)+4(6i+1)=43
We move all terms to the left:
3(4i+3)+4(6i+1)-(43)=0
We multiply parentheses
12i+24i+9+4-43=0
We add all the numbers together, and all the variables
36i-30=0
We move all terms containing i to the left, all other terms to the right
36i=30
i=30/36
i=5/6
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