Please help me with this. I will the first person extra pints.

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groovyghoulie5630

23.10.2021

Mathematics

$d = \frac{a + c}{ac} \\$

multiply either sides by ac :

$(d \times ac) = ( \frac{a + c}{ac} ) \times ac \\ \\ dac = a + c$

collect a - terms together, by subtracting a from both sides:

$dac - a = (a + c) - a \\ dac - a = c$

factorise out a :

$a(dc - 1) = c \\ \\ { \boxed{ \boxed{a = \frac{c}{dc - 1} }}}$

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