3(k+13)-17=-2

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Solution for 3(k+13)-17=-2 equation: 


Simplifying
3(k + 13) + -17 = -2

Reorder the terms:
3(13 + k) + -17 = -2
(13 * 3 + k * 3) + -17 = -2
(39 + 3k) + -17 = -2

Reorder the terms:
39 + -17 + 3k = -2

Combine like terms: 39 + -17 = 22
22 + 3k = -2

Solving
22 + 3k = -2

Solving for variable 'k'.

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

Add '-22' to each side of the equation.
22 + -22 + 3k = -2 + -22

Combine like terms: 22 + -22 = 0
0 + 3k = -2 + -22
3k = -2 + -22

Combine like terms: -2 + -22 = -24
3k = -24

Divide each side by '3'.
k = -8

Simplifying
k = -8

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