6k+(3-10-8)=(2-3)k+22

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Solution for 6k+(3-10-8)=(2-3)k+22 equation: 


Simplifying
6k + (3 + -10 + -8) = (2 + -3) * k + 22

Combine like terms: 3 + -10 = -7
6k + (-7 + -8) = (2 + -3) * k + 22

Combine like terms: -7 + -8 = -15
6k + (-15) = (2 + -3) * k + 22
6k + -15 = (2 + -3) * k + 22

Reorder the terms:
-15 + 6k = (2 + -3) * k + 22

Combine like terms: 2 + -3 = -1
-15 + 6k = (-1) * k + 22

Reorder the terms:
-15 + 6k = 22 + -1k

Solving
-15 + 6k = 22 + -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.
-15 + 6k + k = 22 + -1k + k

Combine like terms: 6k + k = 7k
-15 + 7k = 22 + -1k + k

Combine like terms: -1k + k = 0
-15 + 7k = 22 + 0
-15 + 7k = 22

Add '15' to each side of the equation.
-15 + 15 + 7k = 22 + 15

Combine like terms: -15 + 15 = 0
0 + 7k = 22 + 15
7k = 22 + 15

Combine like terms: 22 + 15 = 37
7k = 37

Divide each side by '7'.
k = 5.285714286

Simplifying
k = 5.285714286

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