How many solutions does 9z-6+7z=16z-6

infinite solutions

Step-by-step explanation:

9z-6+7z=16z-6

Combine like terms

16z - 6 = 16z-6

Subtract 16z from each side

16z-16z - 6 = 16z-16z-6

-6 = -6

This is always true so there are infinite solutions

Steps to solve:

9z - 6 + 7z = 16z - 6

~Combine Like Terms

(9z + 7z) - 6 = 16z - 6

~Simplify

16z - 6 = 16z - 6

~Subtract 16z to both sides

16z - 16z - 6 = 16z - 16z - 6

~Simplify

-6 = - 6

This means that all real numbers are solutions.

Best of Luck!