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3(6I+8)=4(3I+9)
We move all terms to the left:
3(6I+8)-(4(3I+9))=0
We multiply parentheses
18I-(4(3I+9))+24=0
We calculate terms in parentheses: -(4(3I+9)), so:We get rid of parentheses
4(3I+9)
We multiply parentheses
12I+36
Back to the equation:
-(12I+36)
18I-12I-36+24=0
We add all the numbers together, and all the variables
6I-12=0
We move all terms containing I to the left, all other terms to the right
6I=12
I=12/6
I=2
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