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Simplifying 2b + 5(b + 1) = -9 Reorder the terms: 2b + 5(1 + b) = -9 2b + (1 * 5 + b * 5) = -9 2b + (5 + 5b) = -9 Reorder the terms: 5 + 2b + 5b = -9 Combine like terms: 2b + 5b = 7b 5 + 7b = -9 Solving 5 + 7b = -9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7b = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 7b = -9 + -5 7b = -9 + -5 Combine like terms: -9 + -5 = -14 7b = -14 Divide each side by '7'. b = -2 Simplifying b = -2
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