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

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


Simplifying
-2k + -3(4 + -2k) = -2(k + -3) + 2
-2k + (4 * -3 + -2k * -3) = -2(k + -3) + 2
-2k + (-12 + 6k) = -2(k + -3) + 2

Reorder the terms:
-12 + -2k + 6k = -2(k + -3) + 2

Combine like terms: -2k + 6k = 4k
-12 + 4k = -2(k + -3) + 2

Reorder the terms:
-12 + 4k = -2(-3 + k) + 2
-12 + 4k = (-3 * -2 + k * -2) + 2
-12 + 4k = (6 + -2k) + 2

Reorder the terms:
-12 + 4k = 6 + 2 + -2k

Combine like terms: 6 + 2 = 8
-12 + 4k = 8 + -2k

Solving
-12 + 4k = 8 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
-12 + 4k + 2k = 8 + -2k + 2k

Combine like terms: 4k + 2k = 6k
-12 + 6k = 8 + -2k + 2k

Combine like terms: -2k + 2k = 0
-12 + 6k = 8 + 0
-12 + 6k = 8

Add '12' to each side of the equation.
-12 + 12 + 6k = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 6k = 8 + 12
6k = 8 + 12

Combine like terms: 8 + 12 = 20
6k = 20

Divide each side by '6'.
k = 3.333333333

Simplifying
k = 3.333333333

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