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Simplifying 2(12b + 7) + 9b + -1 = 180 + -9b + -1 Reorder the terms: 2(7 + 12b) + 9b + -1 = 180 + -9b + -1 (7 * 2 + 12b * 2) + 9b + -1 = 180 + -9b + -1 (14 + 24b) + 9b + -1 = 180 + -9b + -1 Reorder the terms: 14 + -1 + 24b + 9b = 180 + -9b + -1 Combine like terms: 14 + -1 = 13 13 + 24b + 9b = 180 + -9b + -1 Combine like terms: 24b + 9b = 33b 13 + 33b = 180 + -9b + -1 Reorder the terms: 13 + 33b = 180 + -1 + -9b Combine like terms: 180 + -1 = 179 13 + 33b = 179 + -9b Solving 13 + 33b = 179 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. 13 + 33b + 9b = 179 + -9b + 9b Combine like terms: 33b + 9b = 42b 13 + 42b = 179 + -9b + 9b Combine like terms: -9b + 9b = 0 13 + 42b = 179 + 0 13 + 42b = 179 Add '-13' to each side of the equation. 13 + -13 + 42b = 179 + -13 Combine like terms: 13 + -13 = 0 0 + 42b = 179 + -13 42b = 179 + -13 Combine like terms: 179 + -13 = 166 42b = 166 Divide each side by '42'. b = 3.952380952 Simplifying b = 3.952380952
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