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Simplifying sqrt(4p + 12) + -1 = sqrt(6p + -11) Reorder the terms: qrst(12 + 4p) + -1 = sqrt(6p + -11) (12 * qrst + 4p * qrst) + -1 = sqrt(6p + -11) Reorder the terms: (4pqrst + 12qrst) + -1 = sqrt(6p + -11) (4pqrst + 12qrst) + -1 = sqrt(6p + -11) Reorder the terms: -1 + 4pqrst + 12qrst = sqrt(6p + -11) Reorder the terms: -1 + 4pqrst + 12qrst = qrst(-11 + 6p) -1 + 4pqrst + 12qrst = (-11 * qrst + 6p * qrst) Reorder the terms: -1 + 4pqrst + 12qrst = (6pqrst + -11qrst) -1 + 4pqrst + 12qrst = (6pqrst + -11qrst) Solving -1 + 4pqrst + 12qrst = 6pqrst + -11qrst Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6pqrst' to each side of the equation. -1 + 4pqrst + -6pqrst + 12qrst = 6pqrst + -6pqrst + -11qrst Combine like terms: 4pqrst + -6pqrst = -2pqrst -1 + -2pqrst + 12qrst = 6pqrst + -6pqrst + -11qrst Combine like terms: 6pqrst + -6pqrst = 0 -1 + -2pqrst + 12qrst = 0 + -11qrst -1 + -2pqrst + 12qrst = -11qrst Add '1' to each side of the equation. -1 + -2pqrst + 1 + 12qrst = 1 + -11qrst Reorder the terms: -1 + 1 + -2pqrst + 12qrst = 1 + -11qrst Combine like terms: -1 + 1 = 0 0 + -2pqrst + 12qrst = 1 + -11qrst -2pqrst + 12qrst = 1 + -11qrst Add '-12qrst' to each side of the equation. -2pqrst + 12qrst + -12qrst = 1 + -11qrst + -12qrst Combine like terms: 12qrst + -12qrst = 0 -2pqrst + 0 = 1 + -11qrst + -12qrst -2pqrst = 1 + -11qrst + -12qrst Combine like terms: -11qrst + -12qrst = -23qrst -2pqrst = 1 + -23qrst Divide each side by '-2qrst'. p = -0.5q-1r-1s-1t-1 + 11.5 Simplifying p = -0.5q-1r-1s-1t-1 + 11.5 Reorder the terms: p = 11.5 + -0.5q-1r-1s-1t-1
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