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Simplifying 9p + 4q + -7(9p + -9q) = 0 9p + 4q + (9p * -7 + -9q * -7) = 0 9p + 4q + (-63p + 63q) = 0 Reorder the terms: 9p + -63p + 4q + 63q = 0 Combine like terms: 9p + -63p = -54p -54p + 4q + 63q = 0 Combine like terms: 4q + 63q = 67q -54p + 67q = 0 Solving -54p + 67q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-67q' to each side of the equation. -54p + 67q + -67q = 0 + -67q Combine like terms: 67q + -67q = 0 -54p + 0 = 0 + -67q -54p = 0 + -67q Remove the zero: -54p = -67q Divide each side by '-54'. p = 1.240740741q Simplifying p = 1.240740741q
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