9(3-k)+6=-6(k-3)-9

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Solution for 9(3-k)+6=-6(k-3)-9 equation: 


Simplifying
9(3 + -1k) + 6 = -6(k + -3) + -9
(3 * 9 + -1k * 9) + 6 = -6(k + -3) + -9
(27 + -9k) + 6 = -6(k + -3) + -9

Reorder the terms:
27 + 6 + -9k = -6(k + -3) + -9

Combine like terms: 27 + 6 = 33
33 + -9k = -6(k + -3) + -9

Reorder the terms:
33 + -9k = -6(-3 + k) + -9
33 + -9k = (-3 * -6 + k * -6) + -9
33 + -9k = (18 + -6k) + -9

Reorder the terms:
33 + -9k = 18 + -9 + -6k

Combine like terms: 18 + -9 = 9
33 + -9k = 9 + -6k

Solving
33 + -9k = 9 + -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.
33 + -9k + 6k = 9 + -6k + 6k

Combine like terms: -9k + 6k = -3k
33 + -3k = 9 + -6k + 6k

Combine like terms: -6k + 6k = 0
33 + -3k = 9 + 0
33 + -3k = 9

Add '-33' to each side of the equation.
33 + -33 + -3k = 9 + -33

Combine like terms: 33 + -33 = 0
0 + -3k = 9 + -33
-3k = 9 + -33

Combine like terms: 9 + -33 = -24
-3k = -24

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

Simplifying
k = 8

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