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Simplifying 12p + 7q + -5p + 8q = 0 Reorder the terms: 12p + -5p + 7q + 8q = 0 Combine like terms: 12p + -5p = 7p 7p + 7q + 8q = 0 Combine like terms: 7q + 8q = 15q 7p + 15q = 0 Solving 7p + 15q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15q' to each side of the equation. 7p + 15q + -15q = 0 + -15q Combine like terms: 15q + -15q = 0 7p + 0 = 0 + -15q 7p = 0 + -15q Remove the zero: 7p = -15q Divide each side by '7'. p = -2.142857143q Simplifying p = -2.142857143q
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