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Simplifying 8p + 9(p + -8) + -5(q + -8) = 0 Reorder the terms: 8p + 9(-8 + p) + -5(q + -8) = 0 8p + (-8 * 9 + p * 9) + -5(q + -8) = 0 8p + (-72 + 9p) + -5(q + -8) = 0 Reorder the terms: 8p + -72 + 9p + -5(-8 + q) = 0 8p + -72 + 9p + (-8 * -5 + q * -5) = 0 8p + -72 + 9p + (40 + -5q) = 0 Reorder the terms: -72 + 40 + 8p + 9p + -5q = 0 Combine like terms: -72 + 40 = -32 -32 + 8p + 9p + -5q = 0 Combine like terms: 8p + 9p = 17p -32 + 17p + -5q = 0 Solving -32 + 17p + -5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 17p + 32 + -5q = 0 + 32 Reorder the terms: -32 + 32 + 17p + -5q = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 17p + -5q = 0 + 32 17p + -5q = 0 + 32 Combine like terms: 0 + 32 = 32 17p + -5q = 32 Add '5q' to each side of the equation. 17p + -5q + 5q = 32 + 5q Combine like terms: -5q + 5q = 0 17p + 0 = 32 + 5q 17p = 32 + 5q Divide each side by '17'. p = 1.882352941 + 0.2941176471q Simplifying p = 1.882352941 + 0.2941176471q
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