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Simplifying 5b + -1 + 12b + 7 = 8b + 9 Reorder the terms: -1 + 7 + 5b + 12b = 8b + 9 Combine like terms: -1 + 7 = 6 6 + 5b + 12b = 8b + 9 Combine like terms: 5b + 12b = 17b 6 + 17b = 8b + 9 Reorder the terms: 6 + 17b = 9 + 8b Solving 6 + 17b = 9 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 6 + 17b + -8b = 9 + 8b + -8b Combine like terms: 17b + -8b = 9b 6 + 9b = 9 + 8b + -8b Combine like terms: 8b + -8b = 0 6 + 9b = 9 + 0 6 + 9b = 9 Add '-6' to each side of the equation. 6 + -6 + 9b = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 9b = 9 + -6 9b = 9 + -6 Combine like terms: 9 + -6 = 3 9b = 3 Divide each side by '9'. b = 0.3333333333 Simplifying b = 0.3333333333
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