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Solve the equation. Check your solution.

56=17p-29

Short Answer

Expert verified

The solution for the equation56=17p−29isp=5.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variables.

56=17p−2956+29=17p85=17p

02

– Solve for p

Now, divide both sides of the equation by 17.

8517=p5=pp=5

Therefore, the solution of the equation isp=5.

03

– Check the solution 

To check the solution, write the original equation and substitute the value of p.

56=17p−29

Now, substitutep=5and check the result.

56=17(5)−2956=85−2956=56

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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