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7+(n-1)*7/2=84
We move all terms to the left:
7+(n-1)*7/2-(84)=0
We add all the numbers together, and all the variables
(n-1)*7/2-77=0
We multiply all the terms by the denominator
(n-1)*7-77*2=0
We add all the numbers together, and all the variables
(n-1)*7-154=0
We multiply parentheses
7n-7-154=0
We add all the numbers together, and all the variables
7n-161=0
We move all terms containing n to the left, all other terms to the right
7n=161
n=161/7
n=23
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