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Simplifying 8b + 11 + -3b = 2(b + 1) Reorder the terms: 11 + 8b + -3b = 2(b + 1) Combine like terms: 8b + -3b = 5b 11 + 5b = 2(b + 1) Reorder the terms: 11 + 5b = 2(1 + b) 11 + 5b = (1 * 2 + b * 2) 11 + 5b = (2 + 2b) Solving 11 + 5b = 2 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 11 + 5b + -2b = 2 + 2b + -2b Combine like terms: 5b + -2b = 3b 11 + 3b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 11 + 3b = 2 + 0 11 + 3b = 2 Add '-11' to each side of the equation. 11 + -11 + 3b = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 3b = 2 + -11 3b = 2 + -11 Combine like terms: 2 + -11 = -9 3b = -9 Divide each side by '3'. b = -3 Simplifying b = -3
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