Normally, you should not write down any CAS syntax as part of your response, because it is not considered correct mathematical notation. So you can certainly not write something like "solve(200 = 50n, n)" (if you are using TI). The only exception to this appears to be writing down finance solver inputs (ie. N = ... PV = ..., etc.)
For "show that" questions requiring very simple algebraic rearrangements (ie. one-step linear equations), it is probably best to make sure you can do this by hand, because VCAA may not award marks if you just show the substitution and final answer. For show that questions involving more complicated equations (like those involving the compound interest formula), you can get away with showing the substitution, writing "solve for n", and then writing your answer. VCAA won't expect you to know how to do any algebraic manipulation beyond the level of year 9 maths (so no quadratics, no index laws, no log laws).