These are far to detailed to do them justice on the web. Here is a site that explains how to balance redox equations.
http://www.chemteam.info/Redox/Redox.html
I can help a little by getting you started.
Mg changes from zero on the left to +2 on the right. Au changes from +1 on the left to zero on the right. By the way, with no arrow, how the ## do you know where the reactants stop and the products start. You don't. Learn how to make an arrow. ==> or -->
Use the following steps to balance the redox reaction below:
Mg + Au+ Mg2+ + Au
-Write the oxidation and reduction half-reactions. Make sure each half-reaction is balanced for number of atoms and charge.
-Multiply each half-reaction by the correct number, in order to balance charges for the two half-reactions.
-Add the equations and simplify to get a balanced equation
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