3k-12+6k-14=6k+31

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Solution for 3k-12+6k-14=6k+31 equation:


Simplifying
3k + -12 + 6k + -14 = 6k + 31

Reorder the terms:
-12 + -14 + 3k + 6k = 6k + 31

Combine like terms: -12 + -14 = -26
-26 + 3k + 6k = 6k + 31

Combine like terms: 3k + 6k = 9k
-26 + 9k = 6k + 31

Reorder the terms:
-26 + 9k = 31 + 6k

Solving
-26 + 9k = 31 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-26 + 9k + -6k = 31 + 6k + -6k

Combine like terms: 9k + -6k = 3k
-26 + 3k = 31 + 6k + -6k

Combine like terms: 6k + -6k = 0
-26 + 3k = 31 + 0
-26 + 3k = 31

Add '26' to each side of the equation.
-26 + 26 + 3k = 31 + 26

Combine like terms: -26 + 26 = 0
0 + 3k = 31 + 26
3k = 31 + 26

Combine like terms: 31 + 26 = 57
3k = 57

Divide each side by '3'.
k = 19

Simplifying
k = 19

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