0.002(2-k)+0.07(k-8)=1

Solution for 0.002(2-k)+0.07(k-8)=1 equation:

0.002(2-k) + 0.07(k-8)=1

We simplify the equation to the form, which is simple to understand 
0.002(2-k) + 0.07(k-8)=1

Reorder the terms in parentheses
+( + 0.004-0.002k) + 0.07*(k-8)=1

Remove unnecessary parentheses
 + 0.004-0.002k + 0.07+*(+k-8+)=+1

Reorder the terms in parentheses
 + 0.004-0.002k+( + 0.07k-0.56)=1

Remove unnecessary parentheses
 + 0.004-0.002k + 0.07k-0.56=+1

We move all terms containing k to the left and all other terms to the right. 
-0.002k + 0.07k=+1-0.004 + 0.56

We simplify left and right side of the equation. 
 + 0.068k=+1.556

We divide both sides of the equation by 0.068 to get k. 
k=22.882352941176