3[k-6]=15

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Solution for 3[k-6]=15 equation: 


Simplifying
3[k + -6] = 15

Reorder the terms:
3[-6 + k] = 15
[-6 * 3 + k * 3] = 15
[-18 + 3k] = 15

Solving
-18 + 3k = 15

Solving for variable 'k'.

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

Add '18' to each side of the equation.
-18 + 18 + 3k = 15 + 18

Combine like terms: -18 + 18 = 0
0 + 3k = 15 + 18
3k = 15 + 18

Combine like terms: 15 + 18 = 33
3k = 33

Divide each side by '3'.
k = 11

Simplifying
k = 11

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