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Simplifying -1(8 + -1b) + 12b + -9 = -6b + 2b (8 * -1 + -1b * -1) + 12b + -9 = -6b + 2b (-8 + 1b) + 12b + -9 = -6b + 2b Reorder the terms: -8 + -9 + 1b + 12b = -6b + 2b Combine like terms: -8 + -9 = -17 -17 + 1b + 12b = -6b + 2b Combine like terms: 1b + 12b = 13b -17 + 13b = -6b + 2b Combine like terms: -6b + 2b = -4b -17 + 13b = -4b Solving -17 + 13b = -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -17 + 13b + 4b = -4b + 4b Combine like terms: 13b + 4b = 17b -17 + 17b = -4b + 4b Combine like terms: -4b + 4b = 0 -17 + 17b = 0 Add '17' to each side of the equation. -17 + 17 + 17b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 17b = 0 + 17 17b = 0 + 17 Combine like terms: 0 + 17 = 17 17b = 17 Divide each side by '17'. b = 1 Simplifying b = 1
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