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Simplifying 18p + 12q + p + -6q + -7p = 0 Reorder the terms: 18p + p + -7p + 12q + -6q = 0 Combine like terms: 18p + p = 19p 19p + -7p + 12q + -6q = 0 Combine like terms: 19p + -7p = 12p 12p + 12q + -6q = 0 Combine like terms: 12q + -6q = 6q 12p + 6q = 0 Solving 12p + 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. 12p + 6q + -6q = 0 + -6q Combine like terms: 6q + -6q = 0 12p + 0 = 0 + -6q 12p = 0 + -6q Remove the zero: 12p = -6q Divide each side by '12'. p = -0.5q Simplifying p = -0.5q
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