9(8-k)+6=-6(k-2)-4

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Solution for 9(8-k)+6=-6(k-2)-4 equation: 


Simplifying
9(8 + -1k) + 6 = -6(k + -2) + -4
(8 * 9 + -1k * 9) + 6 = -6(k + -2) + -4
(72 + -9k) + 6 = -6(k + -2) + -4

Reorder the terms:
72 + 6 + -9k = -6(k + -2) + -4

Combine like terms: 72 + 6 = 78
78 + -9k = -6(k + -2) + -4

Reorder the terms:
78 + -9k = -6(-2 + k) + -4
78 + -9k = (-2 * -6 + k * -6) + -4
78 + -9k = (12 + -6k) + -4

Reorder the terms:
78 + -9k = 12 + -4 + -6k

Combine like terms: 12 + -4 = 8
78 + -9k = 8 + -6k

Solving
78 + -9k = 8 + -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.
78 + -9k + 6k = 8 + -6k + 6k

Combine like terms: -9k + 6k = -3k
78 + -3k = 8 + -6k + 6k

Combine like terms: -6k + 6k = 0
78 + -3k = 8 + 0
78 + -3k = 8

Add '-78' to each side of the equation.
78 + -78 + -3k = 8 + -78

Combine like terms: 78 + -78 = 0
0 + -3k = 8 + -78
-3k = 8 + -78

Combine like terms: 8 + -78 = -70
-3k = -70

Divide each side by '-3'.
k = 23.33333333

Simplifying
k = 23.33333333

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