Solve the equation for \( p \):
\[ \frac{2p}{9} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6} \]
Answer (2)
9 2 p + 18 5 p − 6 5 = 3 2 + 12 p + 6 1 ∣ M u lt i pl y b y 36 4 ∗ 2 p + 2 ∗ 5 p − 5 ∗ 6 = 12 ∗ 2 + 3 ∗ p + 6 ∗ 1 8 p + 10 p − 30 = 24 + 3 p + 6 18 p − 30 = 3 p + 30 ∣ S u b t r a c t 3 p 15 p − 30 = 30 ∣ A dd 30 15 p = 60 ∣ D i v i d e b y 15 p = 4
To solve the equation, we first eliminate the fractions by multiplying through by 36. After simplifying, we find that p = 4 .
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