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Simplifying 2(12b + 7) + 9b + 1 = 180 Reorder the terms: 2(7 + 12b) + 9b + 1 = 180 (7 * 2 + 12b * 2) + 9b + 1 = 180 (14 + 24b) + 9b + 1 = 180 Reorder the terms: 14 + 1 + 24b + 9b = 180 Combine like terms: 14 + 1 = 15 15 + 24b + 9b = 180 Combine like terms: 24b + 9b = 33b 15 + 33b = 180 Solving 15 + 33b = 180 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 33b = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 33b = 180 + -15 33b = 180 + -15 Combine like terms: 180 + -15 = 165 33b = 165 Divide each side by '33'. b = 5 Simplifying b = 5
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