0.142857(14-7p)-2=-2(0.5p+3)+6

Solution for 0.142857(14-7p)-2=-2(0.5p+3)+6 equation:

0.142857(14-7p)-2=-2(0.5p+3)+6

We simplify the equation to the form, which is simple to understand 
0.142857(14-7p)-2=-2(0.5p+3)+6

Reorder the terms in parentheses
+(+1.999998-0.999999p)-2=-2*(0.5p+3)+6

Remove unnecessary parentheses
+1.999998-0.999999p-2=-2+*( + 0.5p+3+)+6

Reorder the terms in parentheses
+1.999998-0.999999p-2=+(-1p-6)+6

Remove unnecessary parentheses
+1.999998-0.999999p-2=-1p-6+6

We move all terms containing p to the left and all other terms to the right. 
-0.999999p+1p=-6+6-1.999998+2

We simplify left and right side of the equation. 
+1.00000000003E-6p=+2.00000000006E-6

We divide both sides of the equation by 1.00000000003E-6 to get p. 
p=2