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Simplifying I = (4c + 3)(3c + 4) + 9(3c + 8) Reorder the terms: I = (3 + 4c)(3c + 4) + 9(3c + 8) Reorder the terms: I = (3 + 4c)(4 + 3c) + 9(3c + 8) Multiply (3 + 4c) * (4 + 3c) I = (3(4 + 3c) + 4c * (4 + 3c)) + 9(3c + 8) I = ((4 * 3 + 3c * 3) + 4c * (4 + 3c)) + 9(3c + 8) I = ((12 + 9c) + 4c * (4 + 3c)) + 9(3c + 8) I = (12 + 9c + (4 * 4c + 3c * 4c)) + 9(3c + 8) I = (12 + 9c + (16c + 12c2)) + 9(3c + 8) Combine like terms: 9c + 16c = 25c I = (12 + 25c + 12c2) + 9(3c + 8) Reorder the terms: I = 12 + 25c + 12c2 + 9(8 + 3c) I = 12 + 25c + 12c2 + (8 * 9 + 3c * 9) I = 12 + 25c + 12c2 + (72 + 27c) Reorder the terms: I = 12 + 72 + 25c + 27c + 12c2 Combine like terms: 12 + 72 = 84 I = 84 + 25c + 27c + 12c2 Combine like terms: 25c + 27c = 52c I = 84 + 52c + 12c2 Solving I = 84 + 52c + 12c2 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Simplifying I = 84 + 52c + 12c2
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