Question

Given the equation and model below, which represents the statement 'twice a number decreased by 4 is equal to the sum of the number and -8':

2n - 4 = n - 8

What is the value of the number, n?

Answer 1

To solve the equation 2n - 4 = n - 8 for the value of n, we isolate n on one side of the equation.The value of the number n is -4.

Step-by-step explanation:

To solve the equation 2n - 4 = n - 8 for the value of n, we need to isolate n on one side of the equation. Here are the steps:

1. Start with the given equation: 2n - 4 = n - 8
2. Subtract n from both sides to move all terms containing n to one side: 2n - n - 4 = n - n - 8
3. Simplify the equation: n - 4 = -8
4. Add 4 to both sides: n - 4 + 4 = -8 + 4
5. Simplify: n = -4

Therefore, the value of the number n is -4.