Final answer:
To solve the problem, we set up an equation and solve for n. Then, we find three times n added to 7.
Step-by-step explanation:
To solve the problem, we need to set up an equation. We are told that one half of the number n decreased by 4 is equal to -6. Let's represent this as an equation:
(1/2)n - 4 = -6
To find the value of n, we can solve this equation. First, let's add 4 to both sides of the equation:
(1/2)n - 4 + 4 = -6 + 4
This simplifies to:
(1/2)n = -2
Next, we need to get rid of the fraction by multiplying both sides of the equation by 2:
2 * (1/2)n = 2 * -2
This results in:
n = -4
Now that we know the value of n is -4, we can find three times n added to 7:
3 * (-4) + 7 = -12 + 7 = -5