6 - a = [tex] \frac{1}{3} [/tex] (9a - 18)
First, simplify [tex] \frac{1}{3} (9a - 18)[/tex] to [tex] \frac{9a-18}{3} [/tex] / Your problem should look like: [tex]6 - a = \frac{9a - 18}{3} [/tex]
Second, multiply both sides by 3. / Your problem should look like: [tex]18 - 3a = 9(a - 2)[/tex]
Third, expand. / Your problem should look like: [tex]18 - 3a = 9a - 18[/tex]
Fourth, add 3a to both sides. / Your problem should look like: [tex]18 = 9a - 18 + 3a[/tex]
Fifth, simplify 9a - 18 + 3a to 12a - 18. / Your problem should look like: [tex]18 = 12a - 18[/tex]
Sixth, add 18 to both sides. / Your problem should look like: [tex]18 + 18 = 12a[/tex]
Seventh, add 18 + 18 to get 36. / Your problem should look like: [tex]36 = 12a[/tex]
Eighth, divide both sides by 12. / Your problem should look like: [tex] \frac{36}{12} = a[/tex]
Ninth, since 3 goes into 12 to get 36, simplify [tex] \frac{36}{12} [/tex] to 3. / Your problem should look like: [tex]3 = a[/tex]
Tenth, switch sides. / Your problem should look like: [tex]a = 3[/tex]
Answer: a = 3 (one solution)
