2(2k-2)=4(2k-4)

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Solution for 2(2k-2)=4(2k-4) equation: 


Simplifying
2(2k + -2) = 4(2k + -4)

Reorder the terms:
2(-2 + 2k) = 4(2k + -4)
(-2 * 2 + 2k * 2) = 4(2k + -4)
(-4 + 4k) = 4(2k + -4)

Reorder the terms:
-4 + 4k = 4(-4 + 2k)
-4 + 4k = (-4 * 4 + 2k * 4)
-4 + 4k = (-16 + 8k)

Solving
-4 + 4k = -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.
-4 + 4k + -8k = -16 + 8k + -8k

Combine like terms: 4k + -8k = -4k
-4 + -4k = -16 + 8k + -8k

Combine like terms: 8k + -8k = 0
-4 + -4k = -16 + 0
-4 + -4k = -16

Add '4' to each side of the equation.
-4 + 4 + -4k = -16 + 4

Combine like terms: -4 + 4 = 0
0 + -4k = -16 + 4
-4k = -16 + 4

Combine like terms: -16 + 4 = -12
-4k = -12

Divide each side by '-4'.
k = 3

Simplifying
k = 3

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