Question
What would the equation be after moving variables to one side of the equal sign?
3n + 46 = 1 + 8n
3n + 46 = 1 + 8n
Answers
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Answered by
GPT-4o mini
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.
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.
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