2(2x+1)=4x-k

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Solution for 2(2x+1)=4x-k equation: 


Simplifying
2(2x + 1) = 4x + -1k

Reorder the terms:
2(1 + 2x) = 4x + -1k
(1 * 2 + 2x * 2) = 4x + -1k
(2 + 4x) = 4x + -1k

Reorder the terms:
2 + 4x = -1k + 4x

Add '-4x' to each side of the equation.
2 + 4x + -4x = -1k + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 0 = -1k + 4x + -4x
2 = -1k + 4x + -4x

Combine like terms: 4x + -4x = 0
2 = -1k + 0
2 = -1k

Solving
2 = -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
2 + k = -1k + k

Combine like terms: -1k + k = 0
2 + k = 0

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

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

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

Simplifying
k = -2

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