f(a-4)=4x-7

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Solution for f(a-4)=4x-7 equation: 


Simplifying
f(a + -4) = 4x + -7

Reorder the terms:
f(-4 + a) = 4x + -7
(-4 * f + a * f) = 4x + -7

Reorder the terms:
(af + -4f) = 4x + -7
(af + -4f) = 4x + -7

Reorder the terms:
af + -4f = -7 + 4x

Solving
af + -4f = -7 + 4x

Solving for variable 'a'.

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

Add '4f' to each side of the equation.
af + -4f + 4f = -7 + 4f + 4x

Combine like terms: -4f + 4f = 0
af + 0 = -7 + 4f + 4x
af = -7 + 4f + 4x

Divide each side by 'f'.
a = -7f-1 + 4 + 4f-1x

Simplifying
a = -7f-1 + 4 + 4f-1x

Reorder the terms:
a = 4 + -7f-1 + 4f-1x

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