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Simplifying 6p + 6q + -7(9p + -3q) = 0 6p + 6q + (9p * -7 + -3q * -7) = 0 6p + 6q + (-63p + 21q) = 0 Reorder the terms: 6p + -63p + 6q + 21q = 0 Combine like terms: 6p + -63p = -57p -57p + 6q + 21q = 0 Combine like terms: 6q + 21q = 27q -57p + 27q = 0 Solving -57p + 27q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27q' to each side of the equation. -57p + 27q + -27q = 0 + -27q Combine like terms: 27q + -27q = 0 -57p + 0 = 0 + -27q -57p = 0 + -27q Remove the zero: -57p = -27q Divide each side by '-57'. p = 0.4736842105q Simplifying p = 0.4736842105q
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