3(k-6)+k=10-3k

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


Simplifying
3(k + -6) + k = 10 + -3k

Reorder the terms:
3(-6 + k) + k = 10 + -3k
(-6 * 3 + k * 3) + k = 10 + -3k
(-18 + 3k) + k = 10 + -3k

Combine like terms: 3k + k = 4k
-18 + 4k = 10 + -3k

Solving
-18 + 4k = 10 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-18 + 4k + 3k = 10 + -3k + 3k

Combine like terms: 4k + 3k = 7k
-18 + 7k = 10 + -3k + 3k

Combine like terms: -3k + 3k = 0
-18 + 7k = 10 + 0
-18 + 7k = 10

Add '18' to each side of the equation.
-18 + 18 + 7k = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 7k = 10 + 18
7k = 10 + 18

Combine like terms: 10 + 18 = 28
7k = 28

Divide each side by '7'.
k = 4

Simplifying
k = 4

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