3.6(1+2k)+2=27.7

Solution for 3.6(1+2k)+2=27.7 equation:

Simplifying
3.6(1 + 2k) + 2 = 27.7
(1 * 3.6 + 2k * 3.6) + 2 = 27.7
(3.6 + 7.2k) + 2 = 27.7

Reorder the terms:
3.6 + 2 + 7.2k = 27.7

Combine like terms: 3.6 + 2 = 5.6
5.6 + 7.2k = 27.7

Solving
5.6 + 7.2k = 27.7

Solving for variable 'k'.

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

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 7.2k = 27.7 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 7.2k = 27.7 + -5.6
7.2k = 27.7 + -5.6

Combine like terms: 27.7 + -5.6 = 22.1
7.2k = 22.1

Divide each side by '7.2'.
k = 3.069444444

Simplifying
k = 3.069444444