38+8k=2k-2(-6k+5)

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Solution for 38+8k=2k-2(-6k+5) equation: 


Simplifying
38 + 8k = 2k + -2(-6k + 5)

Reorder the terms:
38 + 8k = 2k + -2(5 + -6k)
38 + 8k = 2k + (5 * -2 + -6k * -2)
38 + 8k = 2k + (-10 + 12k)

Reorder the terms:
38 + 8k = -10 + 2k + 12k

Combine like terms: 2k + 12k = 14k
38 + 8k = -10 + 14k

Solving
38 + 8k = -10 + 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
38 + 8k + -14k = -10 + 14k + -14k

Combine like terms: 8k + -14k = -6k
38 + -6k = -10 + 14k + -14k

Combine like terms: 14k + -14k = 0
38 + -6k = -10 + 0
38 + -6k = -10

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

Combine like terms: 38 + -38 = 0
0 + -6k = -10 + -38
-6k = -10 + -38

Combine like terms: -10 + -38 = -48
-6k = -48

Divide each side by '-6'.
k = 8

Simplifying
k = 8

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