0.6+6.1k=1.3(2k+2)

Solution for 0.6+6.1k=1.3(2k+2) equation:

Simplifying
0.6 + 6.1k = 1.3(2k + 2)

Reorder the terms:
0.6 + 6.1k = 1.3(2 + 2k)
0.6 + 6.1k = (2 * 1.3 + 2k * 1.3)
0.6 + 6.1k = (2.6 + 2.6k)

Solving
0.6 + 6.1k = 2.6 + 2.6k

Solving for variable 'k'.

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

Add '-2.6k' to each side of the equation.
0.6 + 6.1k + -2.6k = 2.6 + 2.6k + -2.6k

Combine like terms: 6.1k + -2.6k = 3.5k
0.6 + 3.5k = 2.6 + 2.6k + -2.6k

Combine like terms: 2.6k + -2.6k = 0.0
0.6 + 3.5k = 2.6 + 0.0
0.6 + 3.5k = 2.6

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 3.5k = 2.6 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 3.5k = 2.6 + -0.6
3.5k = 2.6 + -0.6

Combine like terms: 2.6 + -0.6 = 2
3.5k = 2

Divide each side by '3.5'.
k = 0.5714285714

Simplifying
k = 0.5714285714