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Simplifying 8p + 3(p + -8) + -9(q + -8) = 0 Reorder the terms: 8p + 3(-8 + p) + -9(q + -8) = 0 8p + (-8 * 3 + p * 3) + -9(q + -8) = 0 8p + (-24 + 3p) + -9(q + -8) = 0 Reorder the terms: 8p + -24 + 3p + -9(-8 + q) = 0 8p + -24 + 3p + (-8 * -9 + q * -9) = 0 8p + -24 + 3p + (72 + -9q) = 0 Reorder the terms: -24 + 72 + 8p + 3p + -9q = 0 Combine like terms: -24 + 72 = 48 48 + 8p + 3p + -9q = 0 Combine like terms: 8p + 3p = 11p 48 + 11p + -9q = 0 Solving 48 + 11p + -9q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 11p + -48 + -9q = 0 + -48 Reorder the terms: 48 + -48 + 11p + -9q = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 11p + -9q = 0 + -48 11p + -9q = 0 + -48 Combine like terms: 0 + -48 = -48 11p + -9q = -48 Add '9q' to each side of the equation. 11p + -9q + 9q = -48 + 9q Combine like terms: -9q + 9q = 0 11p + 0 = -48 + 9q 11p = -48 + 9q Divide each side by '11'. p = -4.363636364 + 0.8181818182q Simplifying p = -4.363636364 + 0.8181818182q
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