0.003(8-k)+0.02(k-7)=1

Solution for 0.003(8-k)+0.02(k-7)=1 equation:

Simplifying
0.003(8 + -1k) + 0.02(k + -7) = 1
(8 * 0.003 + -1k * 0.003) + 0.02(k + -7) = 1
(0.024 + -0.003k) + 0.02(k + -7) = 1

Reorder the terms:
0.024 + -0.003k + 0.02(-7 + k) = 1
0.024 + -0.003k + (-7 * 0.02 + k * 0.02) = 1
0.024 + -0.003k + (-0.14 + 0.02k) = 1

Reorder the terms:
0.024 + -0.14 + -0.003k + 0.02k = 1

Combine like terms: 0.024 + -0.14 = -0.116
-0.116 + -0.003k + 0.02k = 1

Combine like terms: -0.003k + 0.02k = 0.017k
-0.116 + 0.017k = 1

Solving
-0.116 + 0.017k = 1

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '0.116' to each side of the equation.
-0.116 + 0.116 + 0.017k = 1 + 0.116

Combine like terms: -0.116 + 0.116 = 0.000
0.000 + 0.017k = 1 + 0.116
0.017k = 1 + 0.116

Combine like terms: 1 + 0.116 = 1.116
0.017k = 1.116

Divide each side by '0.017'.
k = 65.64705882

Simplifying
k = 65.64705882