Question

16 - 2n=-8 +4(n-3)
what is

Answer 1

n = 6

Explanation:

`16-2n=-8+4(n-3)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\16-2n=-8+(4)(n)+(4)(-3)\\\\16-2n=-8+4n-12\qquad\text{subtract}\ 4n\ \text{from both sides}\\\\16-2n-4n=4n-4n-8-12\\\\16-6n=-20\qquad\text{subtract 16 from both sides}\\\\16-16-6n=-20-16\\\\-6n=-36\qquad\text{divide both sides by (-6)}\\\\(-6n)/(-6)=(-36)/(-6)\\\\n=6`