Question

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

Answer 1

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