Golden Rule of Equations

Each of the following equations are equivalent. That is each of the following equations have the same solution set.

E = F
E + G = F + G
E - G = F - G
E(G) = F(G), G not zero
E/G = F/G, G not zero

Note each of the last four equations can be obtained from the original equation E = F by doing the same thing to each side. Hence this result is called the golden rule of equations for we do unto one side as we do unto the other side.

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