38-8k=2(-3k-2)+5k

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Solution for 38-8k=2(-3k-2)+5k equation: 


Simplifying
38 + -8k = 2(-3k + -2) + 5k

Reorder the terms:
38 + -8k = 2(-2 + -3k) + 5k
38 + -8k = (-2 * 2 + -3k * 2) + 5k
38 + -8k = (-4 + -6k) + 5k

Combine like terms: -6k + 5k = -1k
38 + -8k = -4 + -1k

Solving
38 + -8k = -4 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
38 + -8k + k = -4 + -1k + k

Combine like terms: -8k + k = -7k
38 + -7k = -4 + -1k + k

Combine like terms: -1k + k = 0
38 + -7k = -4 + 0
38 + -7k = -4

Add '-38' to each side of the equation.
38 + -38 + -7k = -4 + -38

Combine like terms: 38 + -38 = 0
0 + -7k = -4 + -38
-7k = -4 + -38

Combine like terms: -4 + -38 = -42
-7k = -42

Divide each side by '-7'.
k = 6

Simplifying
k = 6

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