Question

solve the equation $6(n - 4) = 36$. what is the value of $n$? $6(n - 4) = 36$ $\frac{6(n - 4)}{6} = \frac{36}{6}$ $xleftarrow{hspace{10cm}}$ divide by 6 on both sides. $n - 4 = 6$ $\begin{array}{r} + 4 + 4 end{array}$ $xleftarrow{hspace{10cm}}$ add 4 on both sides. $n = square$

Explanation:

Step1: Simplify the equation

We start with the equation \(6(n - 4)=36\). Divide both sides by 6: \(\frac{6(n - 4)}{6}=\frac{36}{6}\), which simplifies to \(n - 4 = 6\).

Step2: Solve for n

Add 4 to both sides of the equation \(n - 4 = 6\). So, \(n-4 + 4=6 + 4\), which gives \(n = 10\).

Answer:

10