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

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


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

Reorder the terms:
2(-8 + 5k) = -6(k + -8)
(-8 * 2 + 5k * 2) = -6(k + -8)
(-16 + 10k) = -6(k + -8)

Reorder the terms:
-16 + 10k = -6(-8 + k)
-16 + 10k = (-8 * -6 + k * -6)
-16 + 10k = (48 + -6k)

Solving
-16 + 10k = 48 + -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.
-16 + 10k + 6k = 48 + -6k + 6k

Combine like terms: 10k + 6k = 16k
-16 + 16k = 48 + -6k + 6k

Combine like terms: -6k + 6k = 0
-16 + 16k = 48 + 0
-16 + 16k = 48

Add '16' to each side of the equation.
-16 + 16 + 16k = 48 + 16

Combine like terms: -16 + 16 = 0
0 + 16k = 48 + 16
16k = 48 + 16

Combine like terms: 48 + 16 = 64
16k = 64

Divide each side by '16'.
k = 4

Simplifying
k = 4

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