Question

What is the value of n in the equation –1/2(2n + 4) + 6 = –9 + 4(2n + 1)?

Answer 1

n = 1

Explanation:

`-(1)/(2)(2n-4)+6=-9+4(2n+1)\qquad\text{use the distributive property}\\\\\left(-(1)/(2)\right)(2n)+\left(-(1)/(2)\right)(-4)+6=-9+(4)(2n)+(4)(1)\\\\-n-2+6=-9+8n+4\qquad\text{combine like terms}\\\\-n+(-2+6)=8n+(-9+4)\\\\-n+4=8n-5\qquad\text{subtract 4 from both sides}\\\\-n=8n-9\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-9n=-9\qquad\text{divide both sides by (-9)}\\\\n=1`