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Simplifying sqrt(4a + 1) + 3 = 2 Reorder the terms: qrst(1 + 4a) + 3 = 2 (1 * qrst + 4a * qrst) + 3 = 2 Reorder the terms: (4aqrst + 1qrst) + 3 = 2 (4aqrst + 1qrst) + 3 = 2 Reorder the terms: 3 + 4aqrst + 1qrst = 2 Solving 3 + 4aqrst + 1qrst = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4aqrst + -3 + 1qrst = 2 + -3 Reorder the terms: 3 + -3 + 4aqrst + 1qrst = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 4aqrst + 1qrst = 2 + -3 4aqrst + 1qrst = 2 + -3 Combine like terms: 2 + -3 = -1 4aqrst + 1qrst = -1 Add '-1qrst' to each side of the equation. 4aqrst + 1qrst + -1qrst = -1 + -1qrst Combine like terms: 1qrst + -1qrst = 0 4aqrst + 0 = -1 + -1qrst 4aqrst = -1 + -1qrst Divide each side by '4qrst'. a = -0.25q-1r-1s-1t-1 + -0.25 Simplifying a = -0.25q-1r-1s-1t-1 + -0.25 Reorder the terms: a = -0.25 + -0.25q-1r-1s-1t-1
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