-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 = 2k
-12 + 2k = -8 + 2k + -2k

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

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

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

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

Divide each side by '2'.
k = 2

Simplifying
k = 2

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