.2(k+2.4)=3.2k

Solution for .2(k+2.4)=3.2k equation:

Simplifying
0.2(k + 2.4) = 3.2k

Reorder the terms:
0.2(2.4 + k) = 3.2k
(2.4 * 0.2 + k * 0.2) = 3.2k
(0.48 + 0.2k) = 3.2k

Solving
0.48 + 0.2k = 3.2k

Solving for variable 'k'.

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

Add '-3.2k' to each side of the equation.
0.48 + 0.2k + -3.2k = 3.2k + -3.2k

Combine like terms: 0.2k + -3.2k = -3k
0.48 + -3k = 3.2k + -3.2k

Combine like terms: 3.2k + -3.2k = 0.0
0.48 + -3k = 0.0

Add '-0.48' to each side of the equation.
0.48 + -0.48 + -3k = 0.0 + -0.48

Combine like terms: 0.48 + -0.48 = 0.00
0.00 + -3k = 0.0 + -0.48
-3k = 0.0 + -0.48

Combine like terms: 0.0 + -0.48 = -0.48
-3k = -0.48

Divide each side by '-3'.
k = 0.16

Simplifying
k = 0.16