Question

What would the equation be after moving variables to one side of the equal sign?

3n + 46 = 1 + 8n

Answer 1

To move all the variables to one side of the equation \(3n + 46 = 1 + 8n\), you can subtract \(8n\) from both sides and subtract \(46\) from both sides:

1. Start with:
\[
3n + 46 = 1 + 8n
\]

2. Subtract \(8n\) from both sides:
\[
3n - 8n + 46 = 1
\]

3. This simplifies to:
\[
-5n + 46 = 1
\]

4. Now, subtract \(46\) from both sides:
\[
-5n + 46 - 46 = 1 - 46
\]

5. This simplifies to:
\[
-5n = -45
\]

Now the equation with all variables on one side is:
\[
-5n + 45 = 0
\]

or you can also write it as:
\[
5n - 45 = 0
\]
Either form effectively isolates the variable on one side.