-2(k+6)-2(k-2)=-16

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Solution for -2(k+6)-2(k-2)=-16 equation: 


Simplifying
-2(k + 6) + -2(k + -2) = -16

Reorder the terms:
-2(6 + k) + -2(k + -2) = -16
(6 * -2 + k * -2) + -2(k + -2) = -16
(-12 + -2k) + -2(k + -2) = -16

Reorder the terms:
-12 + -2k + -2(-2 + k) = -16
-12 + -2k + (-2 * -2 + k * -2) = -16
-12 + -2k + (4 + -2k) = -16

Reorder the terms:
-12 + 4 + -2k + -2k = -16

Combine like terms: -12 + 4 = -8
-8 + -2k + -2k = -16

Combine like terms: -2k + -2k = -4k
-8 + -4k = -16

Solving
-8 + -4k = -16

Solving for variable 'k'.

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

Add '8' to each side of the equation.
-8 + 8 + -4k = -16 + 8

Combine like terms: -8 + 8 = 0
0 + -4k = -16 + 8
-4k = -16 + 8

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

Divide each side by '-4'.
k = 2

Simplifying
k = 2

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