To solve the equations and find the value of n, we need to isolate the variable n on one side of the equation. Here's a step-by-step breakdown of how to solve each equation:
1. 8n + 2 = 18
First, we want to get rid of the constant term on the left side of the equation. We can do this by subtracting 2 from both sides:
8n + 2 - 2 = 18 - 2
8n = 16
Next, we divide both sides of the equation by 8 to isolate n:
8n/8 = 16/8
n = 2
So, n = 2 is the solution to the equation 8n + 2 = 18.
2. -10 + 6n = 8
To isolate n, we need to get rid of the constant term on the left side of the equation. We can do this by adding 10 to both sides:
-10 + 10 + 6n = 8 + 10
6n = 18
Next, we divide both sides of the equation by 6 to isolate n:
6n/6 = 18/6
n = 3
So, n = 3 is the solution to the equation -10 + 6n = 8.
3. 4n + 9 = 25
First, we want to get rid of the constant term on the left side of the equation. We can do this by subtracting 9 from both sides:
4n + 9 - 9 = 25 - 9
4n = 16
Next, we divide both sides of the equation by 4 to isolate n:
4n/4 = 16/4
n = 4
So, n = 4 is the solution to the equation 4n + 9 = 25.
4. 26 - 2n = 12
To isolate n, we need to get rid of the constant term on the left side of the equation. We can do this by subtracting 26 from both sides:
26 - 26 - 2n = 12 - 26
-2n = -14
Next, we divide both sides of the equation by -2 to isolate n:
-2n/-2 = -14/-2
n = 7
So, n = 7 is the solution to the equation 26 - 2n = 12.