-18.57-0.4k-15.35=19.54+6.2k

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Solution for -18.57-0.4k-15.35=19.54+6.2k equation: 


Simplifying
-18.57 + -0.4k + -15.35 = 19.54 + 6.2k

Reorder the terms:
-18.57 + -15.35 + -0.4k = 19.54 + 6.2k

Combine like terms: -18.57 + -15.35 = -33.92
-33.92 + -0.4k = 19.54 + 6.2k

Solving
-33.92 + -0.4k = 19.54 + 6.2k

Solving for variable 'k'.

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

Add '-6.2k' to each side of the equation.
-33.92 + -0.4k + -6.2k = 19.54 + 6.2k + -6.2k

Combine like terms: -0.4k + -6.2k = -6.6k
-33.92 + -6.6k = 19.54 + 6.2k + -6.2k

Combine like terms: 6.2k + -6.2k = 0.0
-33.92 + -6.6k = 19.54 + 0.0
-33.92 + -6.6k = 19.54

Add '33.92' to each side of the equation.
-33.92 + 33.92 + -6.6k = 19.54 + 33.92

Combine like terms: -33.92 + 33.92 = 0.00
0.00 + -6.6k = 19.54 + 33.92
-6.6k = 19.54 + 33.92

Combine like terms: 19.54 + 33.92 = 53.46
-6.6k = 53.46

Divide each side by '-6.6'.
k = -8.1

Simplifying
k = -8.1

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