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Simplifying -11(b + -10) + -2 = 8 + 9b Reorder the terms: -11(-10 + b) + -2 = 8 + 9b (-10 * -11 + b * -11) + -2 = 8 + 9b (110 + -11b) + -2 = 8 + 9b Reorder the terms: 110 + -2 + -11b = 8 + 9b Combine like terms: 110 + -2 = 108 108 + -11b = 8 + 9b Solving 108 + -11b = 8 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 108 + -11b + -9b = 8 + 9b + -9b Combine like terms: -11b + -9b = -20b 108 + -20b = 8 + 9b + -9b Combine like terms: 9b + -9b = 0 108 + -20b = 8 + 0 108 + -20b = 8 Add '-108' to each side of the equation. 108 + -108 + -20b = 8 + -108 Combine like terms: 108 + -108 = 0 0 + -20b = 8 + -108 -20b = 8 + -108 Combine like terms: 8 + -108 = -100 -20b = -100 Divide each side by '-20'. b = 5 Simplifying b = 5
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