Chapter 6.1, Problem 12MRE

To determine

To calculate: The value of y from the expression $\left(3n-6\right)-\left(5-3n\right)=7$.

Answer to Problem 12MRE

The value of n is $3$.

Explanation of Solution

Given information:

The expression $\left(3n-6\right)-\left(5-3n\right)=7$.

Formula used:

To solve for any variable, put all the terms with variable on one side and other terms on other side and then factorize both sides, if possible to solve for the variable and get its value.

Calculation:

Consider the expression $\left(3n-6\right)-\left(5-3n\right)=7$.

Recall that to solve for any variable, put all the terms with variable on one side and other terms on other side and then factorize both sides, if possible to solve for the variable and get its value.

So, open the brackets and then add $11$ on both sides and then divide by $6$ on both sides and solve it as,

  $\begin{array}{c}\left(3n-6\right)-\left(5-3n\right)=7\\ 3n-6-5+3n+11=7+11\\ \frac{6n}{6}=\frac{18}{6}\\ n=3\end{array}$

Thus, the value of n is $3$.