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Simplifying 8 + -2b + -11 = b + 21 + 9b Reorder the terms: 8 + -11 + -2b = b + 21 + 9b Combine like terms: 8 + -11 = -3 -3 + -2b = b + 21 + 9b Reorder the terms: -3 + -2b = 21 + b + 9b Combine like terms: b + 9b = 10b -3 + -2b = 21 + 10b Solving -3 + -2b = 21 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -3 + -2b + -10b = 21 + 10b + -10b Combine like terms: -2b + -10b = -12b -3 + -12b = 21 + 10b + -10b Combine like terms: 10b + -10b = 0 -3 + -12b = 21 + 0 -3 + -12b = 21 Add '3' to each side of the equation. -3 + 3 + -12b = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -12b = 21 + 3 -12b = 21 + 3 Combine like terms: 21 + 3 = 24 -12b = 24 Divide each side by '-12'. b = -2 Simplifying b = -2
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