.5(-4k+24)=6+13k

Solution for .5(-4k+24)=6+13k equation:

Simplifying
0.5(-4k + 24) = 6 + 13k

Reorder the terms:
0.5(24 + -4k) = 6 + 13k
(24 * 0.5 + -4k * 0.5) = 6 + 13k
(12 + -2k) = 6 + 13k

Solving
12 + -2k = 6 + 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
12 + -2k + -13k = 6 + 13k + -13k

Combine like terms: -2k + -13k = -15k
12 + -15k = 6 + 13k + -13k

Combine like terms: 13k + -13k = 0
12 + -15k = 6 + 0
12 + -15k = 6

Add '-12' to each side of the equation.
12 + -12 + -15k = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -15k = 6 + -12
-15k = 6 + -12

Combine like terms: 6 + -12 = -6
-15k = -6

Divide each side by '-15'.
k = 0.4

Simplifying
k = 0.4