Question

Solve each equation. Check your solution.

$6\left(n+5\right)=66$

Short answer

The solution of the given equation is $n=6$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$6\left(n+5\right)=66$”.

Step 2. Solve the given equation.

Solving,

$6\left(n+5\right)=66$ (Given equation)

$\frac{6\left(n+5\right)}{6}=\frac{66}{6}$ (Divide both sides by 6)

$n+5=11$ (Simplify)

$n+5-5=11-5$ (Subtract 5 from both sides)

$n=6$ (Simplify)

So, $n=6$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $n=6$in the given equation $6\left(n+5\right)=66$to get,

$\begin{array}{l}6\left(6+5\right)=66\\ 6\left(11\right)=66\\ 66=66\end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.