-0.1k+6.33=-17.5k-15.4-13.07

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Solution for -0.1k+6.33=-17.5k-15.4-13.07 equation: 


Simplifying
-0.1k + 6.33 = -17.5k + -15.4 + -13.07

Reorder the terms:
6.33 + -0.1k = -17.5k + -15.4 + -13.07

Reorder the terms:
6.33 + -0.1k = -15.4 + -13.07 + -17.5k

Combine like terms: -15.4 + -13.07 = -28.47
6.33 + -0.1k = -28.47 + -17.5k

Solving
6.33 + -0.1k = -28.47 + -17.5k

Solving for variable 'k'.

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

Add '17.5k' to each side of the equation.
6.33 + -0.1k + 17.5k = -28.47 + -17.5k + 17.5k

Combine like terms: -0.1k + 17.5k = 17.4k
6.33 + 17.4k = -28.47 + -17.5k + 17.5k

Combine like terms: -17.5k + 17.5k = 0.0
6.33 + 17.4k = -28.47 + 0.0
6.33 + 17.4k = -28.47

Add '-6.33' to each side of the equation.
6.33 + -6.33 + 17.4k = -28.47 + -6.33

Combine like terms: 6.33 + -6.33 = 0.00
0.00 + 17.4k = -28.47 + -6.33
17.4k = -28.47 + -6.33

Combine like terms: -28.47 + -6.33 = -34.8
17.4k = -34.8

Divide each side by '17.4'.
k = -2

Simplifying
k = -2

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