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Simplifying 3p + 9q + -4(4p + -3q) = 0 3p + 9q + (4p * -4 + -3q * -4) = 0 3p + 9q + (-16p + 12q) = 0 Reorder the terms: 3p + -16p + 9q + 12q = 0 Combine like terms: 3p + -16p = -13p -13p + 9q + 12q = 0 Combine like terms: 9q + 12q = 21q -13p + 21q = 0 Solving -13p + 21q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21q' to each side of the equation. -13p + 21q + -21q = 0 + -21q Combine like terms: 21q + -21q = 0 -13p + 0 = 0 + -21q -13p = 0 + -21q Remove the zero: -13p = -21q Divide each side by '-13'. p = 1.615384615q Simplifying p = 1.615384615q
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