6k+38=5(2k-2)

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Solution for 6k+38=5(2k-2) equation: 


Simplifying
6k + 38 = 5(2k + -2)

Reorder the terms:
38 + 6k = 5(2k + -2)

Reorder the terms:
38 + 6k = 5(-2 + 2k)
38 + 6k = (-2 * 5 + 2k * 5)
38 + 6k = (-10 + 10k)

Solving
38 + 6k = -10 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
38 + 6k + -10k = -10 + 10k + -10k

Combine like terms: 6k + -10k = -4k
38 + -4k = -10 + 10k + -10k

Combine like terms: 10k + -10k = 0
38 + -4k = -10 + 0
38 + -4k = -10

Add '-38' to each side of the equation.
38 + -38 + -4k = -10 + -38

Combine like terms: 38 + -38 = 0
0 + -4k = -10 + -38
-4k = -10 + -38

Combine like terms: -10 + -38 = -48
-4k = -48

Divide each side by '-4'.
k = 12

Simplifying
k = 12

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