1.8+1.2(k+.6)=3.6+1.8k

Solution for 1.8+1.2(k+.6)=3.6+1.8k equation:

Simplifying
1.8 + 1.2(k + 0.6) = 3.6 + 1.8k

Reorder the terms:
1.8 + 1.2(0.6 + k) = 3.6 + 1.8k
1.8 + (0.6 * 1.2 + k * 1.2) = 3.6 + 1.8k
1.8 + (0.72 + 1.2k) = 3.6 + 1.8k

Combine like terms: 1.8 + 0.72 = 2.52
2.52 + 1.2k = 3.6 + 1.8k

Solving
2.52 + 1.2k = 3.6 + 1.8k

Solving for variable 'k'.

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

Add '-1.8k' to each side of the equation.
2.52 + 1.2k + -1.8k = 3.6 + 1.8k + -1.8k

Combine like terms: 1.2k + -1.8k = -0.6k
2.52 + -0.6k = 3.6 + 1.8k + -1.8k

Combine like terms: 1.8k + -1.8k = 0.0
2.52 + -0.6k = 3.6 + 0.0
2.52 + -0.6k = 3.6

Add '-2.52' to each side of the equation.
2.52 + -2.52 + -0.6k = 3.6 + -2.52

Combine like terms: 2.52 + -2.52 = 0.00
0.00 + -0.6k = 3.6 + -2.52
-0.6k = 3.6 + -2.52

Combine like terms: 3.6 + -2.52 = 1.08
-0.6k = 1.08

Divide each side by '-0.6'.
k = -1.8

Simplifying
k = -1.8