0.2k-4.21-0.8=2(-k+0.1)

Solution for 0.2k-4.21-0.8=2(-k+0.1) equation:

Simplifying
0.2k + -4.21 + -0.8 = 2(-1k + 0.1)

Reorder the terms:
-4.21 + -0.8 + 0.2k = 2(-1k + 0.1)

Combine like terms: -4.21 + -0.8 = -5.01
-5.01 + 0.2k = 2(-1k + 0.1)

Reorder the terms:
-5.01 + 0.2k = 2(0.1 + -1k)
-5.01 + 0.2k = (0.1 * 2 + -1k * 2)
-5.01 + 0.2k = (0.2 + -2k)

Solving
-5.01 + 0.2k = 0.2 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-5.01 + 0.2k + 2k = 0.2 + -2k + 2k

Combine like terms: 0.2k + 2k = 2.2k
-5.01 + 2.2k = 0.2 + -2k + 2k

Combine like terms: -2k + 2k = 0
-5.01 + 2.2k = 0.2 + 0
-5.01 + 2.2k = 0.2

Add '5.01' to each side of the equation.
-5.01 + 5.01 + 2.2k = 0.2 + 5.01

Combine like terms: -5.01 + 5.01 = 0.00
0.00 + 2.2k = 0.2 + 5.01
2.2k = 0.2 + 5.01

Combine like terms: 0.2 + 5.01 = 5.21
2.2k = 5.21

Divide each side by '2.2'.
k = 2.368181818

Simplifying
k = 2.368181818