To simplify the expression −8(11/12n+7) 6(7/8n−3), we can use the distributive property and perform the necessary calculations.
Let's break down the process step-by-step:
1. Distribute the −8 and 6 to the terms inside the parentheses:
−8 * (11/12n + 7) = −8 * (11/12n) + (−8 * 7) = −(88/12n) − 56/12n
6 * (7/8n − 3) = 6 * (7/8n) − (6 * 3) = (42/8n) − 18/8n
2. Simplify the fractions:
−(88/12n) − 56/12n = −(88 + 56)/(12n) = −(144)/(12n) = −12n
(42/8n) − 18/8n = (42 − 18)/(8n) = (24)/(8n) = 3/n
3. Combine the simplified terms:
−12n + 3/n
Therefore, the simplified expression is −12n + 3/n.