Question

solve.

$4n - 9 = 2(5 + 2n)$

options:
no solution
$n = 19$
$n = 0$
infinitely many solutions

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(2(5 + 2n)\) to get \(10+4n\). So the equation becomes \(4n-9 = 10 + 4n\).

Step2: Subtract \(4n\) from both sides

Subtract \(4n\) from both sides of the equation \(4n-9 = 10 + 4n\). We get \((4n-4n)-9=(10)+(4n - 4n)\), which simplifies to \(-9=10\).
Since \(-9
eq10\), this is a contradiction, meaning there is no solution to the equation.

Answer:

No solution