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Simplifying b + 15(b + 2) + 15 + 2b = 9 Reorder the terms: b + 15(2 + b) + 15 + 2b = 9 b + (2 * 15 + b * 15) + 15 + 2b = 9 b + (30 + 15b) + 15 + 2b = 9 Reorder the terms: 30 + 15 + b + 15b + 2b = 9 Combine like terms: 30 + 15 = 45 45 + b + 15b + 2b = 9 Combine like terms: b + 15b = 16b 45 + 16b + 2b = 9 Combine like terms: 16b + 2b = 18b 45 + 18b = 9 Solving 45 + 18b = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 18b = 9 + -45 Combine like terms: 45 + -45 = 0 0 + 18b = 9 + -45 18b = 9 + -45 Combine like terms: 9 + -45 = -36 18b = -36 Divide each side by '18'. b = -2 Simplifying b = -2
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