Question

11(n – 1) + 35 = 3n

n = –6
n = –3
n = 3
n = 6

Answer 1

Answer: B) n = -3

Explanation:

11(n - 1) + 35 = 3n
11 * n - 11 * 1 + 35 = 3n
11n - 11 + 35 = 3n
11n + 24 = 3n (Shift +3n to LHS)
11n - 3n + 24 = 0 (Shift +24 to RHS)
11n - 3n = -24
8n = -24 (Shift *8 to RHS)
n = -24/8
=> n = -3

Therefore, n = -3

Answer 2

n = -3

(second option listed)

Explanation:

first, we will distribute the 11 (n-1)

11 (n - 1) + 35 = 3n

11n - 11 + 35 = 3n

Now, we will combine -11 and 35 (because they are like terms)

11n + 24 = 3n

Now, to isolate x as a positive, I will subtract 3n from both sides

11n + 24 = 3n

- 3n - 3n

8n + 24 = 0

Now, I will subtract 24 from both sides to isolate n

8n + 24 = 0

- 24 - 24

8n = -24

Now, we will divide both sides by 8 to find "n"

8n = -24

÷8 ÷8

n = -3

This means that n is equal to -3

(n = -3)