Question

- 2n+1 = 3(n+ 2) multi-step equations

Answer 1

Answer:

n = -1

Step-by-step explanation:

Solve for n:

1 - 2 n = 3 (n + 2)

Expand out terms of the right-hand side:

1 - 2 n = 3 n + 6

Subtract 3 n from both sides:

1 + (-2 n - 3 n) = (3 n - 3 n) + 6

-2 n - 3 n = -5 n:

-5 n + 1 = (3 n - 3 n) + 6

3 n - 3 n = 0:

1 - 5 n = 6

Subtract 1 from both sides:

(1 - 1) - 5 n = 6 - 1

1 - 1 = 0:

-5 n = 6 - 1

6 - 1 = 5:

-5 n = 5

Divide both sides of -5 n = 5 by -5:

(-5 n)/(-5) = 5/(-5)

(-5)/(-5) = 1:

n = 5/(-5)

The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):

n = 1/(-1)

1/(-1) = -1:

Answer: n = -1

Answer 2

Answer:

$- 2n + 1 = 3n + 6 \\ - 2n - 3n = - 1 + 6 \\ - 5n = 5 \\ n = \frac{5}{ - 5} \\ n = - 1$