Question

solve for (n).

(11(n - 1) + 35 = 3n)

• (n = -6)
• (n = -3)
• (n = 3)
• (n = 6)

Explanation:

Expand the left side of the equation

$$ 11(n - 1) + 35 = 3n $$

$$ 11n - 11 + 35 = 3n $$

Combine constant terms

$$ 11n + 24 = 3n $$

Isolate the variable n

$$ 24 = 3n - 11n $$

$$ 24 = -8n $$

$$ n = \frac{24}{-8} $$

$$ n = -3 $$

Answer:

• (A) \(n = -6\)
• (B) \(n = -3\) (Correct answer)
• (C) \(n = 3\)
• (D) \(n = 6\)