What is the answer to p/3+p/4 =55-(((p+4n))/5) ?

The answer to p/3+p/4 =55-(((p+4n))/5) is p=(3300-48n)/(47)

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p/3+p/4 =55-(((p+4n))/5)

\frac{p}{3} + \frac{p}{4} = 55 - (\frac{( p + 4 n )}{5})

p = \frac{3300 - 48 n}{47}

Solution steps

\frac{p}{3} + \frac{p}{4} = 55 - (\frac{( p + 4 n )}{5})

Expand

\frac{p}{3} + \frac{p}{4} : \frac{7 p}{12}

Expand

55 - (\frac{p + 4 n}{5}) : 55 - \frac{p}{5} - \frac{4 n}{5}

\frac{7 p}{12} = 55 - \frac{p}{5} - \frac{4 n}{5}

Multiply by LCM

35 p = 3300 - 12 p - 48 n

Move

12 p

to the left side

47 p = 3300 - 48 n

Divide both sides by

47

p = \frac{3300 - 48 n}{47}

x, 3 x + y - z = 3

42 x - 17 (- 3) - 27 x = 5 x + 11

2 p + 9 = 3

136 - 175 = 59 + 10 x

x, \frac{23}{4} \cdot \frac{x}{r} = \frac{11}{4} \cdot \frac{x}{r}

What is the answer to p/3+p/4 =55-(((p+4n))/5) ?
The answer to p/3+p/4 =55-(((p+4n))/5) is p=(3300-48n)/(47)