9k+6=12k-9

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Solution for 9k+6=12k-9 equation:


Simplifying
9k + 6 = 12k + -9

Reorder the terms:
6 + 9k = 12k + -9

Reorder the terms:
6 + 9k = -9 + 12k

Solving
6 + 9k = -9 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
6 + 9k + -12k = -9 + 12k + -12k

Combine like terms: 9k + -12k = -3k
6 + -3k = -9 + 12k + -12k

Combine like terms: 12k + -12k = 0
6 + -3k = -9 + 0
6 + -3k = -9

Add '-6' to each side of the equation.
6 + -6 + -3k = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3k = -9 + -6
-3k = -9 + -6

Combine like terms: -9 + -6 = -15
-3k = -15

Divide each side by '-3'.
k = 5

Simplifying
k = 5

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