6(k-4)-5k=10-9(k+8)

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Solution for 6(k-4)-5k=10-9(k+8) equation: 


Simplifying
6(k + -4) + -5k = 10 + -9(k + 8)

Reorder the terms:
6(-4 + k) + -5k = 10 + -9(k + 8)
(-4 * 6 + k * 6) + -5k = 10 + -9(k + 8)
(-24 + 6k) + -5k = 10 + -9(k + 8)

Combine like terms: 6k + -5k = 1k
-24 + 1k = 10 + -9(k + 8)

Reorder the terms:
-24 + 1k = 10 + -9(8 + k)
-24 + 1k = 10 + (8 * -9 + k * -9)
-24 + 1k = 10 + (-72 + -9k)

Combine like terms: 10 + -72 = -62
-24 + 1k = -62 + -9k

Solving
-24 + 1k = -62 + -9k

Solving for variable 'k'.

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

Add '9k' to each side of the equation.
-24 + 1k + 9k = -62 + -9k + 9k

Combine like terms: 1k + 9k = 10k
-24 + 10k = -62 + -9k + 9k

Combine like terms: -9k + 9k = 0
-24 + 10k = -62 + 0
-24 + 10k = -62

Add '24' to each side of the equation.
-24 + 24 + 10k = -62 + 24

Combine like terms: -24 + 24 = 0
0 + 10k = -62 + 24
10k = -62 + 24

Combine like terms: -62 + 24 = -38
10k = -38

Divide each side by '10'.
k = -3.8

Simplifying
k = -3.8

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