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Simplifying 14 = (2 + B)(3 + c) Multiply (2 + B) * (3 + c) 14 = (2(3 + c) + B(3 + c)) 14 = ((3 * 2 + c * 2) + B(3 + c)) 14 = ((6 + 2c) + B(3 + c)) 14 = (6 + 2c + (3 * B + c * B)) 14 = (6 + 2c + (3B + cB)) Reorder the terms: 14 = (6 + 3B + 2c + cB) 14 = (6 + 3B + 2c + cB) Solving 14 = 6 + 3B + 2c + cB Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-3B' to each side of the equation. 14 + -3B = 6 + 3B + 2c + -3B + cB Reorder the terms: 14 + -3B = 6 + 3B + -3B + 2c + cB Combine like terms: 3B + -3B = 0 14 + -3B = 6 + 0 + 2c + cB 14 + -3B = 6 + 2c + cB Add '-1cB' to each side of the equation. 14 + -3B + -1cB = 6 + 2c + cB + -1cB Combine like terms: cB + -1cB = 0 14 + -3B + -1cB = 6 + 2c + 0 14 + -3B + -1cB = 6 + 2c Add '-14' to each side of the equation. 14 + -3B + -14 + -1cB = 6 + -14 + 2c Reorder the terms: 14 + -14 + -3B + -1cB = 6 + -14 + 2c Combine like terms: 14 + -14 = 0 0 + -3B + -1cB = 6 + -14 + 2c -3B + -1cB = 6 + -14 + 2c Combine like terms: 6 + -14 = -8 -3B + -1cB = -8 + 2c Reorder the terms: 8 + -3B + -2c + -1cB = -8 + 2c + 8 + -2c Reorder the terms: 8 + -3B + -2c + -1cB = -8 + 8 + 2c + -2c Combine like terms: -8 + 8 = 0 8 + -3B + -2c + -1cB = 0 + 2c + -2c 8 + -3B + -2c + -1cB = 2c + -2c Combine like terms: 2c + -2c = 0 8 + -3B + -2c + -1cB = 0 The solution to this equation could not be determined.
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