Chapter 1, Problem 12CR

To determine

To calculate:

The solution of the following equation:

  $3n-3=4n+1$

Answer to Problem 12CR

The solution of $3n-3=4n+1$ is $-4$ .

Explanation of Solution

Given information:

  $3n-3=4n+1$

Calculation:

The given equation is:

  $3n-3=4n+1$

Subtract $4n$ from both sides of above equation:

  $\begin{array}{l}3n-4n-3=4n-4n+1\\ -n-3=1\end{array}$

Add $3$ on both sides of above equation:

  $\begin{array}{l}-n-3+3=1+3\\ -n=4\end{array}$

Multiply by $\left(-1\right)$ :

  $\begin{array}{l}-n=4\\ -\left(-1\right)n=4\left(-1\right)\\ n=-4\end{array}$

Hence, the solution of $3n-3=4n+1$ is $-4$