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