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Simplifying 6 = 0.85714285714(12 + -1b) + 1 6 = (12 * 0.85714285714 + -1b * 0.85714285714) + 1 6 = (10.28571429 + -0.8571428571b) + 1 Reorder the terms: 6 = 10.28571429 + 1 + -0.8571428571b Combine like terms: 10.28571429 + 1 = 11.28571429 6 = 11.28571429 + -0.8571428571b Solving 6 = 11.28571429 + -0.8571428571b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.8571428571b' to each side of the equation. 6 + 0.8571428571b = 11.28571429 + -0.8571428571b + 0.8571428571b Combine like terms: -0.8571428571b + 0.8571428571b = 0.0000000000 6 + 0.8571428571b = 11.28571429 + 0.0000000000 6 + 0.8571428571b = 11.28571429 Add '-6' to each side of the equation. 6 + -6 + 0.8571428571b = 11.28571429 + -6 Combine like terms: 6 + -6 = 0 0 + 0.8571428571b = 11.28571429 + -6 0.8571428571b = 11.28571429 + -6 Combine like terms: 11.28571429 + -6 = 5.28571429 0.8571428571b = 5.28571429 Divide each side by '0.8571428571'. b = 6.166666672 Simplifying b = 6.166666672
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