5.1k-4.15=4.6k+7.8

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Solution for 5.1k-4.15=4.6k+7.8 equation:


Simplifying
5.1k + -4.15 = 4.6k + 7.8

Reorder the terms:
-4.15 + 5.1k = 4.6k + 7.8

Reorder the terms:
-4.15 + 5.1k = 7.8 + 4.6k

Solving
-4.15 + 5.1k = 7.8 + 4.6k

Solving for variable 'k'.

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

Add '-4.6k' to each side of the equation.
-4.15 + 5.1k + -4.6k = 7.8 + 4.6k + -4.6k

Combine like terms: 5.1k + -4.6k = 0.5k
-4.15 + 0.5k = 7.8 + 4.6k + -4.6k

Combine like terms: 4.6k + -4.6k = 0.0
-4.15 + 0.5k = 7.8 + 0.0
-4.15 + 0.5k = 7.8

Add '4.15' to each side of the equation.
-4.15 + 4.15 + 0.5k = 7.8 + 4.15

Combine like terms: -4.15 + 4.15 = 0.00
0.00 + 0.5k = 7.8 + 4.15
0.5k = 7.8 + 4.15

Combine like terms: 7.8 + 4.15 = 11.95
0.5k = 11.95

Divide each side by '0.5'.
k = 23.9

Simplifying
k = 23.9

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