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Verified Answer :

Simplifying
8k + 2m = 3m + k

Reorder the terms:
8k + 2m = k + 3m

Solving
8k + 2m = k + 3m

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.
8k + -1k + 2m = k + -1k + 3m

Combine like terms: 8k + -1k = 7k
7k + 2m = k + -1k + 3m

Combine like terms: k + -1k = 0
7k + 2m = 0 + 3m
7k + 2m = 3m

Add '-2m' to each side of the equation.
7k + 2m + -2m = 3m + -2m

Combine like terms: 2m + -2m = 0
7k + 0 = 3m + -2m
7k = 3m + -2m

Combine like terms: 3m + -2m = 1m
7k = 1m

Divide each side by '7'.
k = 0.1428571429m

Simplifying
k = 0.1428571429m

Answer:

K=m/7

Step-by-step explanation:

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