Answer:
[tex]\boxed {\tt n=\frac{1}{2}}[/tex]
Step-by-step explanation:
We are given the equation
[tex]8n-2=2[/tex]
We want to solve for n, therefore we must isolate n on one side of the equation.
2 is being subtracted from 8n. The inverse of subtraction is addition. Add 2 to both sides of the equation.
[tex]8n-2+2=2+2[/tex]
[tex]8n=2+2[/tex]
[tex]8n=4[/tex]
n is being multiplied by 8. The inverse of multiplication is division. Divide both sides of the equation by 8.
[tex]\frac{8n}{8}=\frac{4}{8}[/tex]
[tex]n=\frac{4}{8}[/tex]
[tex]n=\frac{1}{2}[/tex]
The value of n that makes the equation true is 1/2.
