ax+b=cz-d

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Solution for ax+b=cz-d equation:


Simplifying
ax + b = cz + -1d

Solving
ax + b = cz + -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.
ax + b + -1b = cz + -1b + -1d

Combine like terms: b + -1b = 0
ax + 0 = cz + -1b + -1d
ax = cz + -1b + -1d

Reorder the terms:
ax = -1b + cz + -1d

Divide each side by 'x'.
a = -1bx-1 + cx-1z + -1dx-1

Simplifying
a = -1bx-1 + cx-1z + -1dx-1

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