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Simplifying 3(p + 9q + -2 + 9) + 14p = 0 Reorder the terms: 3(-2 + 9 + p + 9q) + 14p = 0 Combine like terms: -2 + 9 = 7 3(7 + p + 9q) + 14p = 0 (7 * 3 + p * 3 + 9q * 3) + 14p = 0 (21 + 3p + 27q) + 14p = 0 Reorder the terms: 21 + 3p + 14p + 27q = 0 Combine like terms: 3p + 14p = 17p 21 + 17p + 27q = 0 Solving 21 + 17p + 27q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 17p + -21 + 27q = 0 + -21 Reorder the terms: 21 + -21 + 17p + 27q = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 17p + 27q = 0 + -21 17p + 27q = 0 + -21 Combine like terms: 0 + -21 = -21 17p + 27q = -21 Add '-27q' to each side of the equation. 17p + 27q + -27q = -21 + -27q Combine like terms: 27q + -27q = 0 17p + 0 = -21 + -27q 17p = -21 + -27q Divide each side by '17'. p = -1.235294118 + -1.588235294q Simplifying p = -1.235294118 + -1.588235294q
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