Question

How to solve 1/2(1/3w+4)+6=10 and -5(h+4)=12

Answer 1

1/2(1/3w+4)+6=10 -5(h+4)=12
5/6w+2+6=10 -5h-20=12
5/6w+8=10 +20 +20
-8 -8 -5h=32
5/6w=2 -5h/5=32/5
·6 ·6 h=32/5
5w=12
5w/5=12/5
w=12/5

Answer 2

`(1)/(2)((1)/(3)w+4)+6=10\\\\ (1)/(6)w+(4)/(2)+6=10\\\\ (1)/(6)w+2+6=10\\\\ (1)/(6)w+8=10\ \ \ |Subtract\ 8\\\\ (1)/(6)w=2\ \ \ |Multiply\ by\ 6\\\\ \boxed{w=12}\\\\\\ -5(h+4)=12\\\\ -5h-20=12\ \ \ |Add\ 20\\\\ -5h=32\ \ |Divide\ by\ -5\\\\ h=-(32)/(5)=-6(2)/(5)\\\\ \boxed{h=-6(2)/(5)}`