3(n + 3) = 4n + 30

Answer 1

To solve the equation $3(n+3)=4n+30$, we can follow these steps:

1. Distribute the 3 on the left side: $$3n+9=4n+30$$

2. Next, we'll move all terms involving $n$ to one side and constant terms to the other. Subtract $3n$ from both sides: $$9=4n-3n+30$$ This simplifies to: $$9=n+30$$

3. Now, isolate $n$ by subtracting 30 from both sides: $$9-30=n$$ This simplifies to: $$n=-21$$

So, the solution is: $$\boxed{{\displaystyle -21}}$$