Question

from expressions to equations
here are two new number machines.
a. write an equation to find an input number that will give the same outputs for each machine.

Explanation:

Step1: Set outputs equal

$8n = 6 + 2n$

Step2: Subtract $2n$ from both sides

$8n - 2n = 6 + 2n - 2n$
$6n = 6$

Step3: Divide by 6 on both sides

$\frac{6n}{6} = \frac{6}{6}$
$n = 1$

Answer:

The equation is $8n = 6 + 2n$, and the input number is $n=1$.