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

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


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

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

Combine like terms: 0.2k + -0.8k = -0.6k
-4.21 + -0.6k = 2(-1k + 0.1)

Reorder the terms:
-4.21 + -0.6k = 2(0.1 + -1k)
-4.21 + -0.6k = (0.1 * 2 + -1k * 2)
-4.21 + -0.6k = (0.2 + -2k)

Solving
-4.21 + -0.6k = 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.
-4.21 + -0.6k + 2k = 0.2 + -2k + 2k

Combine like terms: -0.6k + 2k = 1.4k
-4.21 + 1.4k = 0.2 + -2k + 2k

Combine like terms: -2k + 2k = 0
-4.21 + 1.4k = 0.2 + 0
-4.21 + 1.4k = 0.2

Add '4.21' to each side of the equation.
-4.21 + 4.21 + 1.4k = 0.2 + 4.21

Combine like terms: -4.21 + 4.21 = 0.00
0.00 + 1.4k = 0.2 + 4.21
1.4k = 0.2 + 4.21

Combine like terms: 0.2 + 4.21 = 4.41
1.4k = 4.41

Divide each side by '1.4'.
k = 3.15

Simplifying
k = 3.15

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