# Answer to Question #24174 in Abstract Algebra for Jon

Question #24174

32(P-37)=512

Expert's answer

First, let's disclose parentheses:

32*P - 32*37 = 512

As 32*37 = 1184, we have

32*P - 1184 = 512,

or, transferring 1184 to the right side:

32*P = 512 + 1184,

which is the same as

32*P = 1696.

Therefore,

P = 1696/32 = 53.

So, P = 53.

32*P - 32*37 = 512

As 32*37 = 1184, we have

32*P - 1184 = 512,

or, transferring 1184 to the right side:

32*P = 512 + 1184,

which is the same as

32*P = 1696.

Therefore,

P = 1696/32 = 53.

So, P = 53.

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