Question

Find the equivalent expression to 3(-3/2n - 2) - 2(-8/7n - 9).

Answer 1

The equivalent expression is -115/14n - 6.

Step-by-step explanation:

To find the equivalent expression to 3(-3/2n - 2) - 2(-8/7n - 9), we can simplify it step by step:

1. Start by distributing the 3 and 2 to the values inside the parentheses: 3*-3/2n - 3*2 - 2*-8/7n - 2*-9
2. Simplify the terms: -9/2n - 6 + 16/7n + 18
3. Combine like terms: (-9/2n + 16/7n) + (-6 + 18)
4. Combine the fractions by finding a common denominator: (-63/14n + 32/14n) + (12/2 - 108/14)
5. Add or subtract the fractions: (-31/14n) + (-84/14)
6. Combine the whole numbers: -115/14n - 6

So the equivalent expression is -115/14n - 6.