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Simplifying (7 + -6p2 + -8q) + -1(-2 + -2p2 + -4q) = 0 Remove parenthesis around (7 + -6p2 + -8q) 7 + -6p2 + -8q + -1(-2 + -2p2 + -4q) = 0 7 + -6p2 + -8q + (-2 * -1 + -2p2 * -1 + -4q * -1) = 0 7 + -6p2 + -8q + (2 + 2p2 + 4q) = 0 Reorder the terms: 7 + 2 + -6p2 + 2p2 + -8q + 4q = 0 Combine like terms: 7 + 2 = 9 9 + -6p2 + 2p2 + -8q + 4q = 0 Combine like terms: -6p2 + 2p2 = -4p2 9 + -4p2 + -8q + 4q = 0 Combine like terms: -8q + 4q = -4q 9 + -4p2 + -4q = 0 Solving 9 + -4p2 + -4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4p2 + -9 + -4q = 0 + -9 Reorder the terms: 9 + -9 + -4p2 + -4q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4p2 + -4q = 0 + -9 -4p2 + -4q = 0 + -9 Combine like terms: 0 + -9 = -9 -4p2 + -4q = -9 Add '4q' to each side of the equation. -4p2 + -4q + 4q = -9 + 4q Combine like terms: -4q + 4q = 0 -4p2 + 0 = -9 + 4q -4p2 = -9 + 4q Divide each side by '-4'. p2 = 2.25 + -1q Simplifying p2 = 2.25 + -1q Reorder the terms: -2.25 + p2 + q = 2.25 + -1q + -2.25 + q Reorder the terms: -2.25 + p2 + q = 2.25 + -2.25 + -1q + q Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + p2 + q = 0.00 + -1q + q -2.25 + p2 + q = -1q + q Combine like terms: -1q + q = 0 -2.25 + p2 + q = 0 The solution to this equation could not be determined.
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