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

Sagot :

absor201

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

[tex]4\left(n\right)-3=-2\left(n\right)+9[/tex]

remove the parentheses

[tex]4n-3=-2n+9[/tex]

Add 3 to both sides

[tex]4n-3+3=-2n+9+3[/tex]

Simplify

[tex]4n=-2n+12[/tex]

Add 2n to both sides

[tex]4n+2n=-2n+12+2n[/tex]

Simplify

[tex]6n=12[/tex]

Divide both sides by 6

[tex]\frac{6n}{6}=\frac{12}{6}[/tex]

Simplify

[tex]n=2[/tex]

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

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