To solve the equation 7n/9 - 62 = 5n/9 - 48, we can follow these steps:
1. Simplify the equation by getting rid of the fractions:
Multiply both sides of the equation by the common denominator, which is 9. This will eliminate the fractions.
9 * (7n/9) - 9 * 62 = 9 * (5n/9) - 9 * 48
Simplifying further, we have:
7n - 558 = 5n - 432
2. Combine like terms:
To isolate the variable, we need to combine like terms. In this case, we have 7n and 5n on the right side of the equation.
7n - 5n - 558 = - 432
Simplifying further, we have:
2n - 558 = - 432
3. Solve for n:
To solve for n, we need to isolate the variable term. In this case, we can do that by adding 558 to both sides of the equation.
2n - 558 + 558 = - 432 + 558
Simplifying further, we have:
2n = 126
To find the value of n, divide both sides of the equation by 2:
(2n)/2 = 126/2
Simplifying further, we have:
n = 63
Therefore, the solution to the equation 7n/9 - 62 = 5n/9 - 48 is n = 63.