Question

Find the value of $n$. Then name the property used in each step. (Lesson 1-3)

$\left(10-8\right)\left(7\right)=2\left(n\right)$

Short answer

The value of $n$is $7$. The property used is substitution property of equality.

Step-by-step solution

Step 1. State the property.

The substitution property of equality states that for any quantity $a$, if $a=b$, then $a$may be replaced by $b$in any equality.

Step 2. Write the given equation.

The given equation is $\left(10-8\right)\left(7\right)=2\left(n\right)$.

Step 3. Solve the given equation.

Note that $10-8=2$.

Put $10-8=2$in $\left(10-8\right)\left(7\right)=2\left(n\right)$to get,

$\left(2\right)\left(7\right)=2\left(n\right)$

This implies that,

$7=n$or equivalently $n=7$(Substitution property of equality)

So, the solution of the given equation is $n=7$and the property used is the substitution property of equality.