(2-6k)=(k+13)

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Solution for (2-6k)=(k+13) equation:


Simplifying
(2 + -6k) = (k + 13)

Remove parenthesis around (2 + -6k)
2 + -6k = (k + 13)

Reorder the terms:
2 + -6k = (13 + k)

Remove parenthesis around (13 + k)
2 + -6k = 13 + k

Solving
2 + -6k = 13 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
2 + -6k + -1k = 13 + k + -1k

Combine like terms: -6k + -1k = -7k
2 + -7k = 13 + k + -1k

Combine like terms: k + -1k = 0
2 + -7k = 13 + 0
2 + -7k = 13

Add '-2' to each side of the equation.
2 + -2 + -7k = 13 + -2

Combine like terms: 2 + -2 = 0
0 + -7k = 13 + -2
-7k = 13 + -2

Combine like terms: 13 + -2 = 11
-7k = 11

Divide each side by '-7'.
k = -1.571428571

Simplifying
k = -1.571428571

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