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Chapter 3: Q14. (page 133)

Solve the equation. Check your solution.

-15n+16=86-29n

Short Answer

Expert verified

The solution for the equation -15n+16=86-29n is n=5.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�15n+16=86鈭�29n鈭�15n+29n+16=86鈭�29n+29nadd29ntobothsides14n+16=86simplify14n+16鈭�16=86鈭�16subtract16frombothsides14n=70simplify

02

– Solve for n

Now, divide both sides of the equation by 14.

n14=7014n=5

Therefore, the solution of the equation is n=5.

03

– Check the solution 

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

-15n+16=86-29n

Now, substitute n=5 and check the result.

鈭�15脳5+16=86鈭�29脳5鈭�75+16=86鈭�145鈭�59=鈭�59

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

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