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Simplifying (-1p + 6q) + -1(-3p + -4q) = 0 Remove parenthesis around (-1p + 6q) -1p + 6q + -1(-3p + -4q) = 0 -1p + 6q + (-3p * -1 + -4q * -1) = 0 -1p + 6q + (3p + 4q) = 0 Reorder the terms: -1p + 3p + 6q + 4q = 0 Combine like terms: -1p + 3p = 2p 2p + 6q + 4q = 0 Combine like terms: 6q + 4q = 10q 2p + 10q = 0 Solving 2p + 10q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10q' to each side of the equation. 2p + 10q + -10q = 0 + -10q Combine like terms: 10q + -10q = 0 2p + 0 = 0 + -10q 2p = 0 + -10q Remove the zero: 2p = -10q Divide each side by '2'. p = -5q Simplifying p = -5q
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