6(k-2)=0.3(9+3k)

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Solution for 6(k-2)=0.3(9+3k) equation: 


Simplifying
6(k + -2) = 0.3(9 + 3k)

Reorder the terms:
6(-2 + k) = 0.3(9 + 3k)
(-2 * 6 + k * 6) = 0.3(9 + 3k)
(-12 + 6k) = 0.3(9 + 3k)
-12 + 6k = (9 * 0.3 + 3k * 0.3)
-12 + 6k = (2.7 + 0.9k)

Solving
-12 + 6k = 2.7 + 0.9k

Solving for variable 'k'.

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

Add '-0.9k' to each side of the equation.
-12 + 6k + -0.9k = 2.7 + 0.9k + -0.9k

Combine like terms: 6k + -0.9k = 5.1k
-12 + 5.1k = 2.7 + 0.9k + -0.9k

Combine like terms: 0.9k + -0.9k = 0.0
-12 + 5.1k = 2.7 + 0.0
-12 + 5.1k = 2.7

Add '12' to each side of the equation.
-12 + 12 + 5.1k = 2.7 + 12

Combine like terms: -12 + 12 = 0
0 + 5.1k = 2.7 + 12
5.1k = 2.7 + 12

Combine like terms: 2.7 + 12 = 14.7
5.1k = 14.7

Divide each side by '5.1'.
k = 2.882352941

Simplifying
k = 2.882352941

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