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Chapter 3: Q. 13E (page 127)

Solve the equation. Check your solution.

2d+24+3d=84

Short Answer

Expert verified

The solution for the equation2d+24+3d=84is d=12.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

2d+24+3d=845d+24=845d+24鈭�24=84鈭�245d=60

02

– Solve for d

Now, divide both sides of the equation by 5.

5d5=605d=12

Therefore, the solution of the equation isd=12.5d5=605d=12

03

– Check the solution 

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

2d+24+3d=84

Now, substitute d=12and check the result.

212+24+312=8424+24+36=8484=84

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

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