-6-4(-4k-9)=-5(5-k)

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


Simplifying
-6 + -4(-4k + -9) = -5(5 + -1k)

Reorder the terms:
-6 + -4(-9 + -4k) = -5(5 + -1k)
-6 + (-9 * -4 + -4k * -4) = -5(5 + -1k)
-6 + (36 + 16k) = -5(5 + -1k)

Combine like terms: -6 + 36 = 30
30 + 16k = -5(5 + -1k)
30 + 16k = (5 * -5 + -1k * -5)
30 + 16k = (-25 + 5k)

Solving
30 + 16k = -25 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
30 + 16k + -5k = -25 + 5k + -5k

Combine like terms: 16k + -5k = 11k
30 + 11k = -25 + 5k + -5k

Combine like terms: 5k + -5k = 0
30 + 11k = -25 + 0
30 + 11k = -25

Add '-30' to each side of the equation.
30 + -30 + 11k = -25 + -30

Combine like terms: 30 + -30 = 0
0 + 11k = -25 + -30
11k = -25 + -30

Combine like terms: -25 + -30 = -55
11k = -55

Divide each side by '11'.
k = -5

Simplifying
k = -5

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