-18.6(1-36.5k)=-10.4(k-23.2)

Solution for -18.6(1-36.5k)=-10.4(k-23.2) equation:

Simplifying
-18.6(1 + -36.5k) = -10.4(k + -23.2)
(1 * -18.6 + -36.5k * -18.6) = -10.4(k + -23.2)
(-18.6 + 678.9k) = -10.4(k + -23.2)

Reorder the terms:
-18.6 + 678.9k = -10.4(-23.2 + k)
-18.6 + 678.9k = (-23.2 * -10.4 + k * -10.4)
-18.6 + 678.9k = (241.28 + -10.4k)

Solving
-18.6 + 678.9k = 241.28 + -10.4k

Solving for variable 'k'.

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

Add '10.4k' to each side of the equation.
-18.6 + 678.9k + 10.4k = 241.28 + -10.4k + 10.4k

Combine like terms: 678.9k + 10.4k = 689.3k
-18.6 + 689.3k = 241.28 + -10.4k + 10.4k

Combine like terms: -10.4k + 10.4k = 0.0
-18.6 + 689.3k = 241.28 + 0.0
-18.6 + 689.3k = 241.28

Add '18.6' to each side of the equation.
-18.6 + 18.6 + 689.3k = 241.28 + 18.6

Combine like terms: -18.6 + 18.6 = 0.0
0.0 + 689.3k = 241.28 + 18.6
689.3k = 241.28 + 18.6

Combine like terms: 241.28 + 18.6 = 259.88
689.3k = 259.88

Divide each side by '689.3'.
k = 0.3770201654

Simplifying
k = 0.3770201654