# How do you solve 6( n - 8 ) = 7 ( n - 6 ) + 5?

Oct 10, 2016

$n = 85$

#### Explanation:

Given $6 \left(n - 8\right) = 7 \left(n - 6\right) + 5$

Step 1 : Using distributive property of make the equation simpler

$6 n - 6 \left(- 8\right) = 7 n - 7 \left(6\right) + 5$

$6 n + 48 = 7 n - 42 + 5$

Step 2 : Combine like terms

$6 n + 48 = 7 n - 37$

Step 3 Let's isolate the variable, using the additive property like so

$6 n + 48 \textcolor{red}{- 6 n} = 7 n - 37 \textcolor{red}{- 6 n}$

$48 = n - 37$

$48 \textcolor{b l u e}{+ 37} = n - 37 \textcolor{b l u e}{+ 37}$

$85 = n$