Question

Solve each equation. Check your solution.

$8=16+8\mathrm{n}$

Short answer

The solution of the given equation is $n=-1$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$8=16+8n$”.

Step 2. Solve the given equation.

Solving,

$8=16+8n$(Given equation)

$8-16=16+8n-16$(Subtract 16 from both sides)

$-8=8n$ (Simplify)

$\frac{-8}{8}=\frac{8n}{8}$ (Divide both sides by 8)

$-1=n$ (Simplify)

$n=-1$ (Write the variable on the left-hand side)

So, $n=-1$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $n=-1$in the given equation $8=16+8n$to get,

$\begin{array}{l}8=16+8\left(-1\right)\\ 8=16-8\\ 8=8\end{array}$

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.