for what value of n will 3n + 4 = 6n - 11 be true?
3n + 4 = 6n - 11
4 + 11 = 6n - 3n
15 = 3n
5 = n
To find the value of n that makes the equation 3n + 4 = 6n - 11 true, we need to solve the equation. Here's how you can do it step by step:
1. Start by collecting the like terms on each side of the equation. Move the terms with 'n' to one side and the constant terms to the other side. It will look like this:
3n - 6n = -11 - 4
2. Simplify the equation:
-3n = -15
3. Divide both sides of the equation by -3:
n = -15 / -3
4. Perform the division to find the value of n:
n = 5
Therefore, the value of n that makes the equation true is 5.