0.3k-19.74-13.84=1.5k-18.7

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Solution for 0.3k-19.74-13.84=1.5k-18.7 equation: 


Simplifying
0.3k + -19.74 + -13.84 = 1.5k + -18.7

Reorder the terms:
-19.74 + -13.84 + 0.3k = 1.5k + -18.7

Combine like terms: -19.74 + -13.84 = -33.58
-33.58 + 0.3k = 1.5k + -18.7

Reorder the terms:
-33.58 + 0.3k = -18.7 + 1.5k

Solving
-33.58 + 0.3k = -18.7 + 1.5k

Solving for variable 'k'.

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

Add '-1.5k' to each side of the equation.
-33.58 + 0.3k + -1.5k = -18.7 + 1.5k + -1.5k

Combine like terms: 0.3k + -1.5k = -1.2k
-33.58 + -1.2k = -18.7 + 1.5k + -1.5k

Combine like terms: 1.5k + -1.5k = 0.0
-33.58 + -1.2k = -18.7 + 0.0
-33.58 + -1.2k = -18.7

Add '33.58' to each side of the equation.
-33.58 + 33.58 + -1.2k = -18.7 + 33.58

Combine like terms: -33.58 + 33.58 = 0.00
0.00 + -1.2k = -18.7 + 33.58
-1.2k = -18.7 + 33.58

Combine like terms: -18.7 + 33.58 = 14.88
-1.2k = 14.88

Divide each side by '-1.2'.
k = -12.4

Simplifying
k = -12.4

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