The equation provided is: 2(6-8n)-3=-8n+6-8n
To identify the equation type, we need to simplify and solve it.
First, let's simplify the equation:
2(6-8n)-3 = -8n+6-8n
Distribute the 2:
12-16n-3 = -8n+6-8n
Combine like terms:
9-16n = -16n+6
Next, let's isolate the variable terms on one side:
-16n+16n = 6-9
0 = -3
Now, let's analyze the result:
Since we have reached a contradiction (0 = -3), where the equation is false, we can conclude that there is no solution for this equation.
Therefore, the equation is a contradiction and the solution set is empty.