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Simplifying 6 = 0.83(12 + -1b) + 1 6 = (12 * 0.83 + -1b * 0.83) + 1 6 = (9.96 + -0.83b) + 1 Reorder the terms: 6 = 9.96 + 1 + -0.83b Combine like terms: 9.96 + 1 = 10.96 6 = 10.96 + -0.83b Solving 6 = 10.96 + -0.83b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.83b' to each side of the equation. 6 + 0.83b = 10.96 + -0.83b + 0.83b Combine like terms: -0.83b + 0.83b = 0.00 6 + 0.83b = 10.96 + 0.00 6 + 0.83b = 10.96 Add '-6' to each side of the equation. 6 + -6 + 0.83b = 10.96 + -6 Combine like terms: 6 + -6 = 0 0 + 0.83b = 10.96 + -6 0.83b = 10.96 + -6 Combine like terms: 10.96 + -6 = 4.96 0.83b = 4.96 Divide each side by '0.83'. b = 5.975903614 Simplifying b = 5.975903614
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