2(1-4k)=4(3k-7)

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Solution for 2(1-4k)=4(3k-7) equation: 


Simplifying
2(1 + -4k) = 4(3k + -7)
(1 * 2 + -4k * 2) = 4(3k + -7)
(2 + -8k) = 4(3k + -7)

Reorder the terms:
2 + -8k = 4(-7 + 3k)
2 + -8k = (-7 * 4 + 3k * 4)
2 + -8k = (-28 + 12k)

Solving
2 + -8k = -28 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
2 + -8k + -12k = -28 + 12k + -12k

Combine like terms: -8k + -12k = -20k
2 + -20k = -28 + 12k + -12k

Combine like terms: 12k + -12k = 0
2 + -20k = -28 + 0
2 + -20k = -28

Add '-2' to each side of the equation.
2 + -2 + -20k = -28 + -2

Combine like terms: 2 + -2 = 0
0 + -20k = -28 + -2
-20k = -28 + -2

Combine like terms: -28 + -2 = -30
-20k = -30

Divide each side by '-20'.
k = 1.5

Simplifying
k = 1.5

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