-2k-4(k-2)=-2k-8

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Solution for -2k-4(k-2)=-2k-8 equation: 


Simplifying
-2k + -4(k + -2) = -2k + -8

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

Reorder the terms:
8 + -2k + -4k = -2k + -8

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

Reorder the terms:
8 + -6k = -8 + -2k

Solving
8 + -6k = -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.
8 + -6k + 2k = -8 + -2k + 2k

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

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

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

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

Combine like terms: -8 + -8 = -16
-4k = -16

Divide each side by '-4'.
k = 4

Simplifying
k = 4

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