k(x)=2f(-2x)-1

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


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

Multiply k * x
kx = 2f(-2x) + -1

Remove parenthesis around (-2x)
kx = 2f * -2x + -1

Reorder the terms for easier multiplication:
kx = 2 * -2f * x + -1

Multiply 2 * -2
kx = -4f * x + -1

Multiply f * x
kx = -4fx + -1

Reorder the terms:
kx = -1 + -4fx

Solving
kx = -1 + -4fx

Solving for variable 'k'.

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

Divide each side by 'x'.
k = -1x-1 + -4f

Simplifying
k = -1x-1 + -4f

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

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