0.008(3-k)+0.06(k-8)=1

Solution for 0.008(3-k)+0.06(k-8)=1 equation:

Simplifying
0.008(3 + -1k) + 0.06(k + -8) = 1
(3 * 0.008 + -1k * 0.008) + 0.06(k + -8) = 1
(0.024 + -0.008k) + 0.06(k + -8) = 1

Reorder the terms:
0.024 + -0.008k + 0.06(-8 + k) = 1
0.024 + -0.008k + (-8 * 0.06 + k * 0.06) = 1
0.024 + -0.008k + (-0.48 + 0.06k) = 1

Reorder the terms:
0.024 + -0.48 + -0.008k + 0.06k = 1

Combine like terms: 0.024 + -0.48 = -0.456
-0.456 + -0.008k + 0.06k = 1

Combine like terms: -0.008k + 0.06k = 0.052k
-0.456 + 0.052k = 1

Solving
-0.456 + 0.052k = 1

Solving for variable 'k'.

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

Add '0.456' to each side of the equation.
-0.456 + 0.456 + 0.052k = 1 + 0.456

Combine like terms: -0.456 + 0.456 = 0.000
0.000 + 0.052k = 1 + 0.456
0.052k = 1 + 0.456

Combine like terms: 1 + 0.456 = 1.456
0.052k = 1.456

Divide each side by '0.052'.
k = 28

Simplifying
k = 28