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Simplifying (4p + -8q) + -1(4q + -1p) = 0 Remove parenthesis around (4p + -8q) 4p + -8q + -1(4q + -1p) = 0 Reorder the terms: 4p + -8q + -1(-1p + 4q) = 0 4p + -8q + (-1p * -1 + 4q * -1) = 0 4p + -8q + (1p + -4q) = 0 Reorder the terms: 4p + 1p + -8q + -4q = 0 Combine like terms: 4p + 1p = 5p 5p + -8q + -4q = 0 Combine like terms: -8q + -4q = -12q 5p + -12q = 0 Solving 5p + -12q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12q' to each side of the equation. 5p + -12q + 12q = 0 + 12q Combine like terms: -12q + 12q = 0 5p + 0 = 0 + 12q 5p = 0 + 12q Remove the zero: 5p = 12q Divide each side by '5'. p = 2.4q Simplifying p = 2.4q
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