2(k-8)-8=-8(k-2)

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


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

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

Reorder the terms:
-16 + -8 + 2k = -8(k + -2)

Combine like terms: -16 + -8 = -24
-24 + 2k = -8(k + -2)

Reorder the terms:
-24 + 2k = -8(-2 + k)
-24 + 2k = (-2 * -8 + k * -8)
-24 + 2k = (16 + -8k)

Solving
-24 + 2k = 16 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
-24 + 2k + 8k = 16 + -8k + 8k

Combine like terms: 2k + 8k = 10k
-24 + 10k = 16 + -8k + 8k

Combine like terms: -8k + 8k = 0
-24 + 10k = 16 + 0
-24 + 10k = 16

Add '24' to each side of the equation.
-24 + 24 + 10k = 16 + 24

Combine like terms: -24 + 24 = 0
0 + 10k = 16 + 24
10k = 16 + 24

Combine like terms: 16 + 24 = 40
10k = 40

Divide each side by '10'.
k = 4

Simplifying
k = 4

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