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Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2

1 Answer

5 votes

Answer:

Yes!

The solution to the equation is n = 2

Explanation:

Given the equation


4\left(n\right)-3=-2\left(n\right)+9

remove the parentheses


4n-3=-2n+9

Add 3 to both sides


4n-3+3=-2n+9+3

Simplify


4n=-2n+12

Add 2n to both sides


4n+2n=-2n+12+2n

Simplify


6n=12

Divide both sides by 6


(6n)/(6)=(12)/(6)

Simplify


n=2

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

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