To solve the equation 11(n - 1) + 35 = 3n for n, you need to simplify the equation by expanding the terms and isolating n on one side of the equation. Here's a step-by-step breakdown:
1. Start by distributing the 11 to both terms inside the parentheses:
11n - 11 + 35 = 3n
2. Combine like terms:
11n + 24 = 3n
3. Move the 3n to the other side by subtracting 3n from both sides:
11n - 3n + 24 = 0
8n + 24 = 0
4. Finally, solve for n by isolating n:
8n = -24
n = -24 / 8
n = -3
Therefore, the correct solution for n in the given equation is n = -3. This means that when you substitute -3 for n in the equation, the left-hand side will equal the right-hand side, satisfying the equation.
