2k+22=-6(-k-2)+2

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Solution for 2k+22=-6(-k-2)+2 equation: 


Simplifying
2k + 22 = -6(-1k + -2) + 2

Reorder the terms:
22 + 2k = -6(-1k + -2) + 2

Reorder the terms:
22 + 2k = -6(-2 + -1k) + 2
22 + 2k = (-2 * -6 + -1k * -6) + 2
22 + 2k = (12 + 6k) + 2

Reorder the terms:
22 + 2k = 12 + 2 + 6k

Combine like terms: 12 + 2 = 14
22 + 2k = 14 + 6k

Solving
22 + 2k = 14 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
22 + 2k + -6k = 14 + 6k + -6k

Combine like terms: 2k + -6k = -4k
22 + -4k = 14 + 6k + -6k

Combine like terms: 6k + -6k = 0
22 + -4k = 14 + 0
22 + -4k = 14

Add '-22' to each side of the equation.
22 + -22 + -4k = 14 + -22

Combine like terms: 22 + -22 = 0
0 + -4k = 14 + -22
-4k = 14 + -22

Combine like terms: 14 + -22 = -8
-4k = -8

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

Simplifying
k = 2

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