Question

2/3 (3 - n) - 1 = 1/4 (6 - 3n) + 5 please write answer

Answer 1

Answer:

$\huge\boxed{n=66}$

Step-by-step explanation:

$\dfrac{2}{3}(3-n)-1=\dfrac{1}{4}(6-3n)+5\\\\\left(\dfrac{2}{3}\right)(3)-\left(\dfrac{2}{3}\right)(n)-1=\left(\dfrac{1}{4}\right)(6)-\left(\dfrac{1}{4}\right)(3n)+5\\\\2-\dfrac{2}{3}n-1=\dfrac{3}{2}-\dfrac{3}{4}n+5\\\\1-\dfrac{2}{3}n=\dfrac{3}{2}-\dfrac{3}{4}n+\dfrac{10}{2}\\\\1-\dfrac{2}{3}n=\dfrac{13}{2}-\dfrac{3}{4}n\\\\\dfrac{3}{4}n-\dfrac{2}{3}n=\dfrac{13}{2}-1\\\\\dfrac{3\cdot3}{4\cdot3}n-\dfrac{2\cdot4}{3\cdot4}n=\dfrac{13}{2}-\dfrac{2}{2}\\\\\dfrac{9}{12}n-\dfrac{8}{12}n=\dfrac{11}{2}$

$\dfrac{1}{12}n=\dfrac{11}{2}\\\\12\cdot\dfrac{1}{12}n=12\cdot\dfrac{11}{2}\\\\n=6\cdot11\\\\n=66$