2[k-6]=8k

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Solution for 2[k-6]=8k equation:


Simplifying
2[k + -6] = 8k

Reorder the terms:
2[-6 + k] = 8k
[-6 * 2 + k * 2] = 8k
[-12 + 2k] = 8k

Solving
-12 + 2k = 8k

Solving for variable 'k'.

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

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

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

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

Add '12' to each side of the equation.
-12 + 12 + -6k = 0 + 12

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

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

Divide each side by '-6'.
k = -2

Simplifying
k = -2

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