2(2k-1)=3(6-2k)

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Solution for 2(2k-1)=3(6-2k) equation: 


Simplifying
2(2k + -1) = 3(6 + -2k)

Reorder the terms:
2(-1 + 2k) = 3(6 + -2k)
(-1 * 2 + 2k * 2) = 3(6 + -2k)
(-2 + 4k) = 3(6 + -2k)
-2 + 4k = (6 * 3 + -2k * 3)
-2 + 4k = (18 + -6k)

Solving
-2 + 4k = 18 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-2 + 4k + 6k = 18 + -6k + 6k

Combine like terms: 4k + 6k = 10k
-2 + 10k = 18 + -6k + 6k

Combine like terms: -6k + 6k = 0
-2 + 10k = 18 + 0
-2 + 10k = 18

Add '2' to each side of the equation.
-2 + 2 + 10k = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 10k = 18 + 2
10k = 18 + 2

Combine like terms: 18 + 2 = 20
10k = 20

Divide each side by '10'.
k = 2

Simplifying
k = 2

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