Can you please let me know if I solved the following equation correctly?

1 + 5(n-8) = 2 - (n +5)

1 + 5n - 40 = 2 - n - 5

-39 + 5n = -3 - n

6n = 36

n = 6

Thank you very much!

agree

but check as follows

1 + 5 (6-8) = 2 - (6+5) ????

1 - 10 = 2 - 11 ???

-9 = - 9 Yes :)

Thank you for your help with this Damon.

To solve an equation, you need to isolate the variable on one side of the equation.

Let's check your solution step by step:

1 + 5(n-8) = 2 - (n + 5)

First, apply the distributive property by multiplying 5 with both terms inside the parentheses:

1 + 5n - 40 = 2 - n - 5

Combine like terms on both sides of the equation:

5n - 39 = -n - 3

To isolate the variable "n," add "n" to both sides of the equation:

6n - 39 = -3

Next, add 39 to both sides of the equation to move the constant term (-39) to the other side:

6n = 36

Finally, divide both sides of the equation by 6 to solve for "n":

n = 6

Based on the steps you provided, your solution is correct. The value of "n" is indeed 6.