.1*(3k+6)=3-5k

Solution for .1*(3k+6)=3-5k equation:

Simplifying
0.1(3k + 6) = 3 + -5k

Reorder the terms:
0.1(6 + 3k) = 3 + -5k
(6 * 0.1 + 3k * 0.1) = 3 + -5k
(0.6 + 0.3k) = 3 + -5k

Solving
0.6 + 0.3k = 3 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
0.6 + 0.3k + 5k = 3 + -5k + 5k

Combine like terms: 0.3k + 5k = 5.3k
0.6 + 5.3k = 3 + -5k + 5k

Combine like terms: -5k + 5k = 0
0.6 + 5.3k = 3 + 0
0.6 + 5.3k = 3

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 5.3k = 3 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 5.3k = 3 + -0.6
5.3k = 3 + -0.6

Combine like terms: 3 + -0.6 = 2.4
5.3k = 2.4

Divide each side by '5.3'.
k = 0.4528301887

Simplifying
k = 0.4528301887