Question

question 5 of 5
select the correct answer.
which value of n makes the equation true?
6n - 2(4n + 7) + 4 = -2
-6
-4
4
6

Explanation:

Step1: Expand the bracket

First, we expand the term \(-2(4n + 7)\) using the distributive property \(a(b + c)=ab+ac\). So, \(-2(4n + 7)=-8n-14\). The equation becomes \(6n-8n - 14+4=-2\).

Step2: Combine like terms

Combine the \(n\)-terms and the constant terms. For the \(n\)-terms: \(6n-8n=-2n\). For the constant terms: \(-14 + 4=-10\). So the equation simplifies to \(-2n-10=-2\).

Step3: Solve for \(n\)

Add 10 to both sides of the equation: \(-2n-10 + 10=-2 + 10\), which gives \(-2n=8\). Then divide both sides by \(-2\): \(n=\frac{8}{-2}=-4\).

Answer:

-4 (corresponding to the option with -4)