4/5Z=4/15      Why is the next step to multiply by 5? Why does than cancel out the Denominator in 4/5z ?

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Well, that's because you're trying to isolate the variable.When you multiply five on both sides, since 4/5 is essential 4 divided by 5, you are able to isolate Z to 4Z.so, 4Z = 20/15, which is 4Z = 4/3 when simplified.From here, all you have to do is divide by four on both sides.Z = 4/3 (divided by) 4 =4/3 * 1/4 = 4/12, or 1/3.All you're doing when you solve for a solution is doing the opposite action to everything so that you can get your variable alone, equal to a number.I hope that somehow helps, good luck!

that's the way!