Answer
$n = 2$
Work Step by Step
Given the equation:
$n + 5(n - 1) = 7$
We start by opening up the brackets as shown below:
$n + 5n - 5 = 7$
Join like terms together to get:
$6n - 5 = 7$
Isolate the variable $n$ by adding $5$ to both sides of the equation as shown below:
$6n - 5 + 5 = 7 + 5$
Simplify to get:
$6n = 12$
Divide through by the coefficient of the variable $n$ as shown below:
$\frac{6}{6}n = \frac{12}{6}$
Simplify to get:
$n = 2$
