11n+23=3n-13+84
Solving multistep linear equations
If someone could show me step by step how to do this it would mean alot god bless!
11n+23=3n-13+84
Combine like terms.
11n - 3n = 84 - 13 - 23
Take it from there.
Thanks so much
You're very welcome.
Sure! I can help you solve this multi-step linear equation step by step. Here's how you can do it:
1. Start by simplifying both sides of the equation. Combine like terms on each side.
- On the left side, you have 11n + 23.
- On the right side, you have 3n - 13 + 84. Simplify this to 3n + 71 (since -13 + 84 = 71).
So the equation becomes: 11n + 23 = 3n + 71.
2. Next, isolate the variables on one side of the equation. To do this, you need to get rid of the constant term on the side where the variable is already isolated. In this case, you have 11n on the left side and 3n on the right side. Move the 3n term to the left side by subtracting 3n from both sides of the equation.
After subtracting 3n from both sides, the equation becomes: 11n - 3n + 23 = 3n - 3n + 71.
Simplifying further, you get: 8n + 23 = 71.
3. Now, isolate the constant term on the other side of the equation. Move the constant term (23) to the right side by subtracting 23 from both sides.
After subtracting 23 from both sides, the equation becomes: 8n + 23 - 23 = 71 - 23.
Simplifying further, you get: 8n = 48.
4. Finally, solve for the variable n by dividing both sides of the equation by the coefficient (the number multiplying n). In this case, divide both sides by 8.
The equation becomes: (8n)/8 = 48/8.
Simplifying further, you get: n = 6.
So the solution to the equation 11n + 23 = 3n - 13 + 84 is n = 6.