Question

What value for n makes the equation true? 8n - 2 = 2

Answer 1

`\boxed {\tt n=(1)/(2)}`

Explanation:

We are given the equation

`8n-2=2`

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.

`8n-2+2=2+2`

`8n=2+2`

`8n=4`

n is being multiplied by 8. The inverse of multiplication is division. Divide both sides of the equation by 8.

`(8n)/(8)=(4)/(8)`

`n=(4)/(8)`

`n=(1)/(2)`

The value of n that makes the equation true is 1/2.