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Simplifying 12(r + 1) + -1(r2 + -1)(r + 1) = 2r2 + -2 Reorder the terms: 12(1 + r) + -1(r2 + -1)(r + 1) = 2r2 + -2 (1 * 12 + r * 12) + -1(r2 + -1)(r + 1) = 2r2 + -2 (12 + 12r) + -1(r2 + -1)(r + 1) = 2r2 + -2 Reorder the terms: 12 + 12r + -1(-1 + r2)(r + 1) = 2r2 + -2 Reorder the terms: 12 + 12r + -1(-1 + r2)(1 + r) = 2r2 + -2 Multiply (-1 + r2) * (1 + r) 12 + 12r + -1(-1(1 + r) + r2(1 + r)) = 2r2 + -2 12 + 12r + -1((1 * -1 + r * -1) + r2(1 + r)) = 2r2 + -2 12 + 12r + -1((-1 + -1r) + r2(1 + r)) = 2r2 + -2 12 + 12r + -1(-1 + -1r + (1 * r2 + r * r2)) = 2r2 + -2 12 + 12r + -1(-1 + -1r + (1r2 + r3)) = 2r2 + -2 12 + 12r + -1(-1 + -1r + 1r2 + r3) = 2r2 + -2 12 + 12r + (-1 * -1 + -1r * -1 + 1r2 * -1 + r3 * -1) = 2r2 + -2 12 + 12r + (1 + 1r + -1r2 + -1r3) = 2r2 + -2 Reorder the terms: 12 + 1 + 12r + 1r + -1r2 + -1r3 = 2r2 + -2 Combine like terms: 12 + 1 = 13 13 + 12r + 1r + -1r2 + -1r3 = 2r2 + -2 Combine like terms: 12r + 1r = 13r 13 + 13r + -1r2 + -1r3 = 2r2 + -2 Reorder the terms: 13 + 13r + -1r2 + -1r3 = -2 + 2r2 Solving 13 + 13r + -1r2 + -1r3 = -2 + 2r2 Solving for variable 'r'. Reorder the terms: 13 + 2 + 13r + -1r2 + -2r2 + -1r3 = -2 + 2r2 + 2 + -2r2 Combine like terms: 13 + 2 = 15 15 + 13r + -1r2 + -2r2 + -1r3 = -2 + 2r2 + 2 + -2r2 Combine like terms: -1r2 + -2r2 = -3r2 15 + 13r + -3r2 + -1r3 = -2 + 2r2 + 2 + -2r2 Reorder the terms: 15 + 13r + -3r2 + -1r3 = -2 + 2 + 2r2 + -2r2 Combine like terms: -2 + 2 = 0 15 + 13r + -3r2 + -1r3 = 0 + 2r2 + -2r2 15 + 13r + -3r2 + -1r3 = 2r2 + -2r2 Combine like terms: 2r2 + -2r2 = 0 15 + 13r + -3r2 + -1r3 = 0 The solution to this equation could not be determined.
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