ak+b=ck-d

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Solution for ak+b=ck-d equation:


Simplifying
ak + b = ck + -1d

Solving
ak + b = ck + -1d

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ak + b + -1b = ck + -1b + -1d

Combine like terms: b + -1b = 0
ak + 0 = ck + -1b + -1d
ak = ck + -1b + -1d

Reorder the terms:
ak = -1b + ck + -1d

Divide each side by 'k'.
a = -1bk-1 + c + -1dk-1

Simplifying
a = -1bk-1 + c + -1dk-1

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