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Simplifying 6p + 8q + -2(4p + -7q) = 0 6p + 8q + (4p * -2 + -7q * -2) = 0 6p + 8q + (-8p + 14q) = 0 Reorder the terms: 6p + -8p + 8q + 14q = 0 Combine like terms: 6p + -8p = -2p -2p + 8q + 14q = 0 Combine like terms: 8q + 14q = 22q -2p + 22q = 0 Solving -2p + 22q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22q' to each side of the equation. -2p + 22q + -22q = 0 + -22q Combine like terms: 22q + -22q = 0 -2p + 0 = 0 + -22q -2p = 0 + -22q Remove the zero: -2p = -22q Divide each side by '-2'. p = 11q Simplifying p = 11q
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