Question

1. 9(6x - 1) - 9 = 18

Explanation:

Step1: Add 9 to both sides

To isolate the term with the variable, we add 9 to both sides of the equation \(9(6d - 1)-9 = 18\). This gives us \(9(6d - 1)-9 + 9=18 + 9\), which simplifies to \(9(6d - 1)=27\).

Step2: Divide both sides by 9

Now, we divide both sides of the equation \(9(6d - 1)=27\) by 9. So, \(\frac{9(6d - 1)}{9}=\frac{27}{9}\), which simplifies to \(6d - 1 = 3\).

Step3: Add 1 to both sides

Next, we add 1 to both sides of the equation \(6d - 1 = 3\). This gives \(6d - 1+1 = 3 + 1\), which simplifies to \(6d=4\).

Step4: Divide both sides by 6

Finally, we divide both sides of the equation \(6d = 4\) by 6. So, \(d=\frac{4}{6}=\frac{2}{3}\).

Answer:

\(d = \frac{2}{3}\)