What value of n makes the equation 4 (0.5n-3) = n-0.25 (12-8n) true

The value of n = - 8 makes the given equation true.

Step-by-step explanation:

The equation is given to be : 4 (0.5n - 3) = n - 0.25 (12 - 8n)

For the equation to be true, first find the value of n

⇒ 4 (0.5n - 3) = n - 0.25 (12 - 8n)

⇒ 2n - 12 = n - 3 + 2n

⇒ 2n - n - 2n = - 3 + 12

⇒ - n = 8

⇒ n = - 8

Hence, The value of n = - 8 makes the given equation true.

First let's distribute everything, e. t. c, e. t. c.

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

2n = 3n + 9

-n = 9

n = - 9