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Simplifying 6p + 7q + -8(9p + -3q) = 0 6p + 7q + (9p * -8 + -3q * -8) = 0 6p + 7q + (-72p + 24q) = 0 Reorder the terms: 6p + -72p + 7q + 24q = 0 Combine like terms: 6p + -72p = -66p -66p + 7q + 24q = 0 Combine like terms: 7q + 24q = 31q -66p + 31q = 0 Solving -66p + 31q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-31q' to each side of the equation. -66p + 31q + -31q = 0 + -31q Combine like terms: 31q + -31q = 0 -66p + 0 = 0 + -31q -66p = 0 + -31q Remove the zero: -66p = -31q Divide each side by '-66'. p = 0.4696969697q Simplifying p = 0.4696969697q
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