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Simplifying (7p + -2q) + (-4p + 5q) = 0 Remove parenthesis around (7p + -2q) 7p + -2q + (-4p + 5q) = 0 Remove parenthesis around (-4p + 5q) 7p + -2q + -4p + 5q = 0 Reorder the terms: 7p + -4p + -2q + 5q = 0 Combine like terms: 7p + -4p = 3p 3p + -2q + 5q = 0 Combine like terms: -2q + 5q = 3q 3p + 3q = 0 Solving 3p + 3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. 3p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 3p + 0 = 0 + -3q 3p = 0 + -3q Remove the zero: 3p = -3q Divide each side by '3'. p = -1q Simplifying p = -1q
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