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Simplifying 3q + 10p + 18 + 9q + 38p + q = 0 Reorder the terms: 18 + 10p + 38p + 3q + 9q + q = 0 Combine like terms: 10p + 38p = 48p 18 + 48p + 3q + 9q + q = 0 Combine like terms: 3q + 9q = 12q 18 + 48p + 12q + q = 0 Combine like terms: 12q + q = 13q 18 + 48p + 13q = 0 Solving 18 + 48p + 13q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 48p + -18 + 13q = 0 + -18 Reorder the terms: 18 + -18 + 48p + 13q = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 48p + 13q = 0 + -18 48p + 13q = 0 + -18 Combine like terms: 0 + -18 = -18 48p + 13q = -18 Add '-13q' to each side of the equation. 48p + 13q + -13q = -18 + -13q Combine like terms: 13q + -13q = 0 48p + 0 = -18 + -13q 48p = -18 + -13q Divide each side by '48'. p = -0.375 + -0.2708333333q Simplifying p = -0.375 + -0.2708333333q
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