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Simplifying 14.24 + 140.92A + 38.29B = 12.56 + 22.92A + 38.02B Solving 14.24 + 140.92A + 38.29B = 12.56 + 22.92A + 38.02B Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-22.92A' to each side of the equation. 14.24 + 140.92A + -22.92A + 38.29B = 12.56 + 22.92A + -22.92A + 38.02B Combine like terms: 140.92A + -22.92A = 118A 14.24 + 118A + 38.29B = 12.56 + 22.92A + -22.92A + 38.02B Combine like terms: 22.92A + -22.92A = 0.00 14.24 + 118A + 38.29B = 12.56 + 0.00 + 38.02B 14.24 + 118A + 38.29B = 12.56 + 38.02B Add '-14.24' to each side of the equation. 14.24 + 118A + -14.24 + 38.29B = 12.56 + -14.24 + 38.02B Reorder the terms: 14.24 + -14.24 + 118A + 38.29B = 12.56 + -14.24 + 38.02B Combine like terms: 14.24 + -14.24 = 0.00 0.00 + 118A + 38.29B = 12.56 + -14.24 + 38.02B 118A + 38.29B = 12.56 + -14.24 + 38.02B Combine like terms: 12.56 + -14.24 = -1.68 118A + 38.29B = -1.68 + 38.02B Add '-38.29B' to each side of the equation. 118A + 38.29B + -38.29B = -1.68 + 38.02B + -38.29B Combine like terms: 38.29B + -38.29B = 0.00 118A + 0.00 = -1.68 + 38.02B + -38.29B 118A = -1.68 + 38.02B + -38.29B Combine like terms: 38.02B + -38.29B = -0.27B 118A = -1.68 + -0.27B Divide each side by '118'. A = -0.01423728814 + -0.002288135593B Simplifying A = -0.01423728814 + -0.002288135593B
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