2(3-3k)=-4(k+2)

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Solution for 2(3-3k)=-4(k+2) equation: 


Simplifying
2(3 + -3k) = -4(k + 2)
(3 * 2 + -3k * 2) = -4(k + 2)
(6 + -6k) = -4(k + 2)

Reorder the terms:
6 + -6k = -4(2 + k)
6 + -6k = (2 * -4 + k * -4)
6 + -6k = (-8 + -4k)

Solving
6 + -6k = -8 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
6 + -6k + 4k = -8 + -4k + 4k

Combine like terms: -6k + 4k = -2k
6 + -2k = -8 + -4k + 4k

Combine like terms: -4k + 4k = 0
6 + -2k = -8 + 0
6 + -2k = -8

Add '-6' to each side of the equation.
6 + -6 + -2k = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2k = -8 + -6
-2k = -8 + -6

Combine like terms: -8 + -6 = -14
-2k = -14

Divide each side by '-2'.
k = 7

Simplifying
k = 7

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