0.5(-20k+65)=6+13k

Solution for 0.5(-20k+65)=6+13k equation:

Simplifying
0.5(-20k + 65) = 6 + 13k

Reorder the terms:
0.5(65 + -20k) = 6 + 13k
(65 * 0.5 + -20k * 0.5) = 6 + 13k
(32.5 + -10k) = 6 + 13k

Solving
32.5 + -10k = 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.
32.5 + -10k + -13k = 6 + 13k + -13k

Combine like terms: -10k + -13k = -23k
32.5 + -23k = 6 + 13k + -13k

Combine like terms: 13k + -13k = 0
32.5 + -23k = 6 + 0
32.5 + -23k = 6

Add '-32.5' to each side of the equation.
32.5 + -32.5 + -23k = 6 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + -23k = 6 + -32.5
-23k = 6 + -32.5

Combine like terms: 6 + -32.5 = -26.5
-23k = -26.5

Divide each side by '-23'.
k = 1.152173913

Simplifying
k = 1.152173913