Question

solve the equation: 12n - 15 = 3(2n + 3)

Explanation:

Step1: Expand the right side

We use the distributive property \(a(b + c)=ab+ac\) to expand \(3(2n + 3)\). So \(3(2n+3)=3\times2n+3\times3 = 6n + 9\). The equation becomes \(12n-15=6n + 9\).

Step2: Subtract \(6n\) from both sides

Subtract \(6n\) from each side to get \(12n-6n-15=6n-6n + 9\), which simplifies to \(6n-15=9\).

Step3: Add 15 to both sides

Add 15 to both sides: \(6n-15 + 15=9 + 15\), so \(6n=24\).

Step4: Divide by 6

Divide both sides by 6: \(\frac{6n}{6}=\frac{24}{6}\), which gives \(n = 4\).

Answer:

4