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Simplifying 7p + -3q + 4(2p + q) = 0 7p + -3q + (2p * 4 + q * 4) = 0 7p + -3q + (8p + 4q) = 0 Reorder the terms: 7p + 8p + -3q + 4q = 0 Combine like terms: 7p + 8p = 15p 15p + -3q + 4q = 0 Combine like terms: -3q + 4q = 1q 15p + 1q = 0 Solving 15p + 1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. 15p + 1q + -1q = 0 + -1q Combine like terms: 1q + -1q = 0 15p + 0 = 0 + -1q 15p = 0 + -1q Remove the zero: 15p = -1q Divide each side by '15'. p = -0.06666666667q Simplifying p = -0.06666666667q
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