0.2(4k+1)=

Solution for 0.2(4k+1)= equation:

Simplifying
0.2(4k + 1) = 0

Reorder the terms:
0.2(1 + 4k) = 0
(1 * 0.2 + 4k * 0.2) = 0
(0.2 + 0.8k) = 0

Solving
0.2 + 0.8k = 0

Solving for variable 'k'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.8k = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8k = 0 + -0.2
0.8k = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.8k = -0.2

Divide each side by '0.8'.
k = -0.25

Simplifying
k = -0.25