2(6k+8)=5(k-8)

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Solution for 2(6k+8)=5(k-8) equation: 


Simplifying
2(6k + 8) = 5(k + -8)

Reorder the terms:
2(8 + 6k) = 5(k + -8)
(8 * 2 + 6k * 2) = 5(k + -8)
(16 + 12k) = 5(k + -8)

Reorder the terms:
16 + 12k = 5(-8 + k)
16 + 12k = (-8 * 5 + k * 5)
16 + 12k = (-40 + 5k)

Solving
16 + 12k = -40 + 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.
16 + 12k + -5k = -40 + 5k + -5k

Combine like terms: 12k + -5k = 7k
16 + 7k = -40 + 5k + -5k

Combine like terms: 5k + -5k = 0
16 + 7k = -40 + 0
16 + 7k = -40

Add '-16' to each side of the equation.
16 + -16 + 7k = -40 + -16

Combine like terms: 16 + -16 = 0
0 + 7k = -40 + -16
7k = -40 + -16

Combine like terms: -40 + -16 = -56
7k = -56

Divide each side by '7'.
k = -8

Simplifying
k = -8

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