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Simplifying R(46) + -1C(46) = [5(46)] + -1[0.05(46) * 2 + 0.4(46) + 8] Reorder the terms for easier multiplication: 46R + -1C(46) = [5(46)] + -1[0.05(46) * 2 + 0.4(46) + 8] Reorder the terms for easier multiplication: 46R + -1 * 46C = [5(46)] + -1[0.05(46) * 2 + 0.4(46) + 8] Multiply -1 * 46 46R + -46C = [5(46)] + -1[0.05(46) * 2 + 0.4(46) + 8] Reorder the terms: -46C + 46R = [5(46)] + -1[0.05(46) * 2 + 0.4(46) + 8] Multiply 5 * 46 -46C + 46R = [230] + -1[0.05(46) * 2 + 0.4(46) + 8] -46C + 46R = 230 + -1[0.05(46) * 2 + 0.4(46) + 8] Multiply 0.05 * 46 -46C + 46R = 230 + -1[2.3 * 2 + 0.4(46) + 8] Multiply 2.3 * 2 -46C + 46R = 230 + -1[4.6 + 0.4(46) + 8] Multiply 0.4 * 46 -46C + 46R = 230 + -1[4.6 + 18.4 + 8] Combine like terms: 4.6 + 18.4 = 23 -46C + 46R = 230 + -1[23 + 8] Combine like terms: 23 + 8 = 31 -46C + 46R = 230 + -1[31] Multiply -1 * 31 -46C + 46R = 230 + -31 Combine like terms: 230 + -31 = 199 -46C + 46R = 199 Solving -46C + 46R = 199 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-46R' to each side of the equation. -46C + 46R + -46R = 199 + -46R Combine like terms: 46R + -46R = 0 -46C + 0 = 199 + -46R -46C = 199 + -46R Divide each side by '-46'. C = -4.326086957 + R Simplifying C = -4.326086957 + R
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