-82.93884=5.8(2.38k-1.9)

Solution for -82.93884=5.8(2.38k-1.9) equation:

Simplifying
-82.93884 = 5.8(2.38k + -1.9)

Reorder the terms:
-82.93884 = 5.8(-1.9 + 2.38k)
-82.93884 = (-1.9 * 5.8 + 2.38k * 5.8)
-82.93884 = (-11.02 + 13.804k)

Solving
-82.93884 = -11.02 + 13.804k

Solving for variable 'k'.

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

Add '-13.804k' to each side of the equation.
-82.93884 + -13.804k = -11.02 + 13.804k + -13.804k

Combine like terms: 13.804k + -13.804k = 0.000
-82.93884 + -13.804k = -11.02 + 0.000
-82.93884 + -13.804k = -11.02

Add '82.93884' to each side of the equation.
-82.93884 + 82.93884 + -13.804k = -11.02 + 82.93884

Combine like terms: -82.93884 + 82.93884 = 0.00000
0.00000 + -13.804k = -11.02 + 82.93884
-13.804k = -11.02 + 82.93884

Combine like terms: -11.02 + 82.93884 = 71.91884
-13.804k = 71.91884

Divide each side by '-13.804'.
k = -5.21

Simplifying
k = -5.21