Question

Solve each equation. Check your solution.

$6\left(n+4\right)=-18$

Short answer

The solution of the given equation is $n=-7$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$6\left(n+4\right)=-18$”.

Step 2. Solve the given equation.

Solving,

$6\left(n+4\right)=-18$ (Given equation)

$6n+24=-18$ (Distributive property)

$6n+24-24=-18-24$ (Subtract 24 from both sides)

$6n=-42$ (Simplify)

$\frac{6n}{6}=\frac{-42}{6}$ (Divide both sides by 6)

$n=-7$ (Simplify)

So, $n=-7$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $n=-7$in the given equation $6\left(n+4\right)=-18$to get,

$\begin{array}{l}6\left(-7+4\right)=-18\\ 6\left(-3\right)=-18\\ -18=-18\end{array}$

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.