To find the value of [tex]\( r \)[/tex] in the equation [tex]\( 3r - 6 = 18 \)[/tex], let's proceed step-by-step to isolate [tex]\( r \)[/tex].
1. Start with the given equation:
[tex]\[
3r - 6 = 18
\][/tex]
2. Add 6 to both sides of the equation:
This step is taken to eliminate the constant term on the left-hand side.
[tex]\[
3r - 6 + 6 = 18 + 6
\][/tex]
[tex]\[
3r = 24
\][/tex]
3. Divide both sides by 3:
To solve for [tex]\( r \)[/tex], divide by the coefficient of [tex]\( r \)[/tex] (which is 3).
[tex]\[
\frac{3r}{3} = \frac{24}{3}
\][/tex]
[tex]\[
r = 8
\][/tex]
So, the value of [tex]\( r \)[/tex] is [tex]\( 8 \)[/tex]. Thus, the correct answer is:
[tex]\( \boxed{8} \)[/tex]
