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Simplifying (7p + -2q) + -1(4p + 5q) = 0 Remove parenthesis around (7p + -2q) 7p + -2q + -1(4p + 5q) = 0 7p + -2q + (4p * -1 + 5q * -1) = 0 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 = -7q 3p + -7q = 0 Solving 3p + -7q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7q' to each side of the equation. 3p + -7q + 7q = 0 + 7q Combine like terms: -7q + 7q = 0 3p + 0 = 0 + 7q 3p = 0 + 7q Remove the zero: 3p = 7q Divide each side by '3'. p = 2.333333333q Simplifying p = 2.333333333q
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