given;n+8(n+20)=110
1;n+8n+20=110
2;9n+20=110
3;9n=110-20
49n=90
n+8n+60=110
n+8n=110-60
9n=50
n=50/9
you forgot to multiply 20 by 8:
n+8(n+20)=110
must be
n+8n+160=110
but you're on the right track~ :)
To solve the equation n + 8(n + 20) = 110, you can follow these steps:
1. Distribute the 8 to the terms inside the parentheses: n + 8n + 160 = 110.
This gives you the equation: 9n + 160 = 110.
2. Subtract 160 from both sides of the equation to isolate the term with n: 9n = 110 - 160.
Simplify the right side: 9n = -50.
3. Finally, divide both sides of the equation by 9 to solve for n: n = -50 / 9.
The solution for n is n ≈ -5.55.