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9i+7=8*7+9/2*8-2*7-9*3+7
We move all terms to the left:
9i+7-(8*7+9/2*8-2*7-9*3+7)=0
We add all the numbers together, and all the variables
9i+7-(9/2*8+22)=0
We get rid of parentheses
9i+7-22-9/2*8=0
We multiply all the terms by the denominator
9i*2*8-9+7*2*8-22*2*8=0
We add all the numbers together, and all the variables
9i*2*8-249=0
Wy multiply elements
144i*8-249=0
Wy multiply elements
1152i-249=0
We move all terms containing i to the left, all other terms to the right
1152i=249
i=249/1152
i=83/384
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