Final answer:
The value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1) is -7/4.
Step-by-step explanation:
To find the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1), we need to simplify and solve for n. Here are the steps:
- Distribute the negative sign to the terms inside the parentheses: -2n - 4 + 6 = -9 + 4(2n + 1)
- Simplify both sides of the equation: -2n + 2 = -9 + 8n + 4
- Combine like terms: -2n + 2 = 8n - 5
- Add 2n to both sides and subtract 2 from both sides: 4n = -7
- Divide both sides by 4: n = -7/4
Therefore, the value of n is -7/4.