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Simplifying 2(3r + 4) * 3r(r + 1) = 11 Reorder the terms: 2(4 + 3r) * 3r(r + 1) = 11 Reorder the terms: 2(4 + 3r) * 3r(1 + r) = 11 Reorder the terms for easier multiplication: 2 * 3r(4 + 3r)(1 + r) = 11 Multiply 2 * 3 6r(4 + 3r)(1 + r) = 11 Multiply (4 + 3r) * (1 + r) 6r(4(1 + r) + 3r * (1 + r)) = 11 6r((1 * 4 + r * 4) + 3r * (1 + r)) = 11 6r((4 + 4r) + 3r * (1 + r)) = 11 6r(4 + 4r + (1 * 3r + r * 3r)) = 11 6r(4 + 4r + (3r + 3r2)) = 11 Combine like terms: 4r + 3r = 7r 6r(4 + 7r + 3r2) = 11 (4 * 6r + 7r * 6r + 3r2 * 6r) = 11 (24r + 42r2 + 18r3) = 11 Solving 24r + 42r2 + 18r3 = 11 Solving for variable 'r'. Reorder the terms: -11 + 24r + 42r2 + 18r3 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + 24r + 42r2 + 18r3 = 0 The solution to this equation could not be determined.
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