Question

What is 4(2 - n) = -2(n + 4)​

Answer 1

n = 8

Explanation:

`4(2-n)=-2(n+4)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(4)(2)+(4)(-n)=(-2)(n)+(-2)(4)\\\\8-4n=-2n-8\qquad\text{subtract 8 from both sides}\\\\8-8-4n=-2n-8-8\\\\-4n=-2n-16\qquad\text{add}\ 2n\ \text{to both sides}\\\\-4n+2n=-2n+2n-16\\\\-2n=-16\qquad\text{divide both sides by (-2)}\\\\(-2n)/(-2)=(-16)/(-2)\\\\n=8`