Write the steps in solving 6n−4+5n=73. Justify each step with an appropriate property.

1 answer

1. 6n - 4 + 5n = 73 (Given equation)
2. Combine like terms: 6n + 5n = 11n
3. Rewrite the equation: 11n - 4 = 73 (Associative Property of Addition)
4. Add 4 to both sides: 11n - 4 + 4 = 73 + 4 (Addition Property of Equality)
5. Simplify: 11n = 77
6. Divide both sides by 11: 11n/11 = 77/11 (Division Property of Equality)
7. Simplify: n = 7
8. Therefore, the solution to the equation 6n - 4 + 5n = 73 is n = 7.