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Simplifying 7p + 3q + -8(2p + -7q) = 0 7p + 3q + (2p * -8 + -7q * -8) = 0 7p + 3q + (-16p + 56q) = 0 Reorder the terms: 7p + -16p + 3q + 56q = 0 Combine like terms: 7p + -16p = -9p -9p + 3q + 56q = 0 Combine like terms: 3q + 56q = 59q -9p + 59q = 0 Solving -9p + 59q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-59q' to each side of the equation. -9p + 59q + -59q = 0 + -59q Combine like terms: 59q + -59q = 0 -9p + 0 = 0 + -59q -9p = 0 + -59q Remove the zero: -9p = -59q Divide each side by '-9'. p = 6.555555556q Simplifying p = 6.555555556q
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