To solve the equation -7(5n-6) = -3(-9n-11) + 9, we can start by simplifying both sides of the equation.
On the left side, we distribute -7 to the terms inside the parentheses:
-7 * 5n = -35n
-7 * -6 = 42
So the left side becomes -35n + 42.
On the right side, we distribute -3 to the terms inside the parentheses:
-3 * -9n = 27n
-3 * -11 = 33
So the right side becomes 27n + 33 + 9, which simplifies to 27n + 42.
Now we have the equation -35n + 42 = 27n + 42.
Subtracting 27n from both sides gives:
-35n - 27n + 42 = 27n - 27n + 42
-62n + 42 = 42
Next, we subtract 42 from both sides:
-62n + 42 - 42 = 42 - 42
-62n = 0
Finally, we divide both sides by -62:
-62n / -62 = 0 / -62
n = 0
So the solution to the equation is n = 0.