Discuss whether the statements below are ‘Always True’, ‘Sometimes True’, or ‘Never True’. Explain your reasoning.
1. The product of a multiple of \(6\) and a multiple of \(3\) is a multiple of \(9\).
2. The sum of three consecutive even numbers will be divisible by \(6\).
3. If \(abcdef\) is a multiple of \(12\), then \(dcabef\) will be a multiple of 12.
4. \(8(7b – 3) – 4(11b + 1)\) is a multiple of \(15\).