8(9-k)+6=-6(k-3)-10

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Solution for 8(9-k)+6=-6(k-3)-10 equation: 


Simplifying
8(9 + -1k) + 6 = -6(k + -3) + -10
(9 * 8 + -1k * 8) + 6 = -6(k + -3) + -10
(72 + -8k) + 6 = -6(k + -3) + -10

Reorder the terms:
72 + 6 + -8k = -6(k + -3) + -10

Combine like terms: 72 + 6 = 78
78 + -8k = -6(k + -3) + -10

Reorder the terms:
78 + -8k = -6(-3 + k) + -10
78 + -8k = (-3 * -6 + k * -6) + -10
78 + -8k = (18 + -6k) + -10

Reorder the terms:
78 + -8k = 18 + -10 + -6k

Combine like terms: 18 + -10 = 8
78 + -8k = 8 + -6k

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

Combine like terms: -8k + 6k = -2k
78 + -2k = 8 + -6k + 6k

Combine like terms: -6k + 6k = 0
78 + -2k = 8 + 0
78 + -2k = 8

Add '-78' to each side of the equation.
78 + -78 + -2k = 8 + -78

Combine like terms: 78 + -78 = 0
0 + -2k = 8 + -78
-2k = 8 + -78

Combine like terms: 8 + -78 = -70
-2k = -70

Divide each side by '-2'.
k = 35

Simplifying
k = 35

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