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Simplifying 2p + 4q + -8(3p + -6q) = 0 2p + 4q + (3p * -8 + -6q * -8) = 0 2p + 4q + (-24p + 48q) = 0 Reorder the terms: 2p + -24p + 4q + 48q = 0 Combine like terms: 2p + -24p = -22p -22p + 4q + 48q = 0 Combine like terms: 4q + 48q = 52q -22p + 52q = 0 Solving -22p + 52q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-52q' to each side of the equation. -22p + 52q + -52q = 0 + -52q Combine like terms: 52q + -52q = 0 -22p + 0 = 0 + -52q -22p = 0 + -52q Remove the zero: -22p = -52q Divide each side by '-22'. p = 2.363636364q Simplifying p = 2.363636364q
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