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Simplifying 9p + 2q + -2(5p + -8q) = 0 9p + 2q + (5p * -2 + -8q * -2) = 0 9p + 2q + (-10p + 16q) = 0 Reorder the terms: 9p + -10p + 2q + 16q = 0 Combine like terms: 9p + -10p = -1p -1p + 2q + 16q = 0 Combine like terms: 2q + 16q = 18q -1p + 18q = 0 Solving -1p + 18q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18q' to each side of the equation. -1p + 18q + -18q = 0 + -18q Combine like terms: 18q + -18q = 0 -1p + 0 = 0 + -18q -1p = 0 + -18q Remove the zero: -1p = -18q Divide each side by '-1'. p = 18q Simplifying p = 18q
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