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Simplifying 3p + 4q + p + 2q + 7p = 0 Reorder the terms: 3p + p + 7p + 4q + 2q = 0 Combine like terms: 3p + p = 4p 4p + 7p + 4q + 2q = 0 Combine like terms: 4p + 7p = 11p 11p + 4q + 2q = 0 Combine like terms: 4q + 2q = 6q 11p + 6q = 0 Solving 11p + 6q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6q' to each side of the equation. 11p + 6q + -6q = 0 + -6q Combine like terms: 6q + -6q = 0 11p + 0 = 0 + -6q 11p = 0 + -6q Remove the zero: 11p = -6q Divide each side by '11'. p = -0.5454545455q Simplifying p = -0.5454545455q
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