The solution for the equation a(b - c) = d is:
[tex]c = b - \frac{d}{a}[/tex]
None of the options is correct
The given equation is:
a(b - c) = d
Expand the left hand side of the equation using distributive rule
ab - ac = d
Subtract ab from both sides
ab - ab - ac = d - ab
-ac = d - ab
Multiply both sides by -1
-1(-ac) = -1(d - ab)
ac = ab - d
Divide both sides by a
[tex]c = \frac{ab}{a} - \frac{d}{a} \\c = b - \frac{d}{a}[/tex]
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