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Simplifying (b + -2) + 2b + -1(b + -3) = 11 Reorder the terms: (-2 + b) + 2b + -1(b + -3) = 11 Remove parenthesis around (-2 + b) -2 + b + 2b + -1(b + -3) = 11 Reorder the terms: -2 + b + 2b + -1(-3 + b) = 11 -2 + b + 2b + (-3 * -1 + b * -1) = 11 -2 + b + 2b + (3 + -1b) = 11 Reorder the terms: -2 + 3 + b + 2b + -1b = 11 Combine like terms: -2 + 3 = 1 1 + b + 2b + -1b = 11 Combine like terms: b + 2b = 3b 1 + 3b + -1b = 11 Combine like terms: 3b + -1b = 2b 1 + 2b = 11 Solving 1 + 2b = 11 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2b = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 11 + -1 2b = 11 + -1 Combine like terms: 11 + -1 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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