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Solve the equation. Check your solution.

12=3m-17.

Short Answer

Expert verified

The solution for the equation 12=3m−17is m=21.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

12=3m−1712=3m−5112+51=3m−51+5163=3m3m=63

02

– Solve for m

Now, divide both sides of the equation by 3.

3m3=633m=21

Therefore, the solution of the equation is m=21.

03

– Check the solution 

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

12=3m−17

Now, substitutem=21 and check the result.

12=321−1712=3412=12

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

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