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Simplifying 5p + 6(p + -5) + -9(q + -5) = 0 Reorder the terms: 5p + 6(-5 + p) + -9(q + -5) = 0 5p + (-5 * 6 + p * 6) + -9(q + -5) = 0 5p + (-30 + 6p) + -9(q + -5) = 0 Reorder the terms: 5p + -30 + 6p + -9(-5 + q) = 0 5p + -30 + 6p + (-5 * -9 + q * -9) = 0 5p + -30 + 6p + (45 + -9q) = 0 Reorder the terms: -30 + 45 + 5p + 6p + -9q = 0 Combine like terms: -30 + 45 = 15 15 + 5p + 6p + -9q = 0 Combine like terms: 5p + 6p = 11p 15 + 11p + -9q = 0 Solving 15 + 11p + -9q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 11p + -15 + -9q = 0 + -15 Reorder the terms: 15 + -15 + 11p + -9q = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 11p + -9q = 0 + -15 11p + -9q = 0 + -15 Combine like terms: 0 + -15 = -15 11p + -9q = -15 Add '9q' to each side of the equation. 11p + -9q + 9q = -15 + 9q Combine like terms: -9q + 9q = 0 11p + 0 = -15 + 9q 11p = -15 + 9q Divide each side by '11'. p = -1.363636364 + 0.8181818182q Simplifying p = -1.363636364 + 0.8181818182q
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