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Simplifying 5p + 3q + -7(7p + -4q) = 0 5p + 3q + (7p * -7 + -4q * -7) = 0 5p + 3q + (-49p + 28q) = 0 Reorder the terms: 5p + -49p + 3q + 28q = 0 Combine like terms: 5p + -49p = -44p -44p + 3q + 28q = 0 Combine like terms: 3q + 28q = 31q -44p + 31q = 0 Solving -44p + 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. -44p + 31q + -31q = 0 + -31q Combine like terms: 31q + -31q = 0 -44p + 0 = 0 + -31q -44p = 0 + -31q Remove the zero: -44p = -31q Divide each side by '-44'. p = 0.7045454545q Simplifying p = 0.7045454545q
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