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Simplifying p2 + 8q + -1400 = -1p2 + 14q + 700 Reorder the terms: -1400 + p2 + 8q = -1p2 + 14q + 700 Reorder the terms: -1400 + p2 + 8q = 700 + -1p2 + 14q Solving -1400 + p2 + 8q = 700 + -1p2 + 14q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p2' to each side of the equation. -1400 + p2 + p2 + 8q = 700 + -1p2 + p2 + 14q Combine like terms: p2 + p2 = 2p2 -1400 + 2p2 + 8q = 700 + -1p2 + p2 + 14q Combine like terms: -1p2 + p2 = 0 -1400 + 2p2 + 8q = 700 + 0 + 14q -1400 + 2p2 + 8q = 700 + 14q Add '1400' to each side of the equation. -1400 + 2p2 + 1400 + 8q = 700 + 1400 + 14q Reorder the terms: -1400 + 1400 + 2p2 + 8q = 700 + 1400 + 14q Combine like terms: -1400 + 1400 = 0 0 + 2p2 + 8q = 700 + 1400 + 14q 2p2 + 8q = 700 + 1400 + 14q Combine like terms: 700 + 1400 = 2100 2p2 + 8q = 2100 + 14q Add '-8q' to each side of the equation. 2p2 + 8q + -8q = 2100 + 14q + -8q Combine like terms: 8q + -8q = 0 2p2 + 0 = 2100 + 14q + -8q 2p2 = 2100 + 14q + -8q Combine like terms: 14q + -8q = 6q 2p2 = 2100 + 6q Divide each side by '2'. p2 = 1050 + 3q Simplifying p2 = 1050 + 3q Reorder the terms: -1050 + p2 + -3q = 1050 + 3q + -1050 + -3q Reorder the terms: -1050 + p2 + -3q = 1050 + -1050 + 3q + -3q Combine like terms: 1050 + -1050 = 0 -1050 + p2 + -3q = 0 + 3q + -3q -1050 + p2 + -3q = 3q + -3q Combine like terms: 3q + -3q = 0 -1050 + p2 + -3q = 0 The solution to this equation could not be determined.
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