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Simplifying 2b + 9 = -5(b + -6) Reorder the terms: 9 + 2b = -5(b + -6) Reorder the terms: 9 + 2b = -5(-6 + b) 9 + 2b = (-6 * -5 + b * -5) 9 + 2b = (30 + -5b) Solving 9 + 2b = 30 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 9 + 2b + 5b = 30 + -5b + 5b Combine like terms: 2b + 5b = 7b 9 + 7b = 30 + -5b + 5b Combine like terms: -5b + 5b = 0 9 + 7b = 30 + 0 9 + 7b = 30 Add '-9' to each side of the equation. 9 + -9 + 7b = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 7b = 30 + -9 7b = 30 + -9 Combine like terms: 30 + -9 = 21 7b = 21 Divide each side by '7'. b = 3 Simplifying b = 3
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