8-2k=6+2(k-3)

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Solution for 8-2k=6+2(k-3) equation: 


Simplifying
8 + -2k = 6 + 2(k + -3)

Reorder the terms:
8 + -2k = 6 + 2(-3 + k)
8 + -2k = 6 + (-3 * 2 + k * 2)
8 + -2k = 6 + (-6 + 2k)

Combine like terms: 6 + -6 = 0
8 + -2k = 0 + 2k
8 + -2k = 2k

Solving
8 + -2k = 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 + -2k + -2k = 2k + -2k

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

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

Add '-8' to each side of the equation.
8 + -8 + -4k = 0 + -8

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

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

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

Simplifying
k = 2

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