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Simplifying 7p + -4q + (5p + -2q) = 0 Remove parenthesis around (5p + -2q) 7p + -4q + 5p + -2q = 0 Reorder the terms: 7p + 5p + -4q + -2q = 0 Combine like terms: 7p + 5p = 12p 12p + -4q + -2q = 0 Combine like terms: -4q + -2q = -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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