Answer: 80
Step-by-step explanation: Let x be the total number of people at the party.
According to the problem, the number of people who ate chicken wings was 14 less than 3/5 of the total number of people, so we can write:
34 = (3/5)x - 14
To solve for x, we can first add 14 to both sides of the equation:
34 + 14 = (3/5)x
48 = (3/5)x
Then we can multiply both sides by 5/3:
(5/3) * 48 = x
80 = x
Therefore, the number of people at the party was 80.
To write a one-step equation with the same solution, we can simply write:
x = 80
This is a one-step equation because the solution is obtained in just one step by assigning the value 80 to the variable x.