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Simplifying 4p + 3q + -7(5p + -9q) = 0 4p + 3q + (5p * -7 + -9q * -7) = 0 4p + 3q + (-35p + 63q) = 0 Reorder the terms: 4p + -35p + 3q + 63q = 0 Combine like terms: 4p + -35p = -31p -31p + 3q + 63q = 0 Combine like terms: 3q + 63q = 66q -31p + 66q = 0 Solving -31p + 66q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-66q' to each side of the equation. -31p + 66q + -66q = 0 + -66q Combine like terms: 66q + -66q = 0 -31p + 0 = 0 + -66q -31p = 0 + -66q Remove the zero: -31p = -66q Divide each side by '-31'. p = 2.129032258q Simplifying p = 2.129032258q
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