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Simplifying 3(12b + -1) = 97 + 6b Reorder the terms: 3(-1 + 12b) = 97 + 6b (-1 * 3 + 12b * 3) = 97 + 6b (-3 + 36b) = 97 + 6b Solving -3 + 36b = 97 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -3 + 36b + -6b = 97 + 6b + -6b Combine like terms: 36b + -6b = 30b -3 + 30b = 97 + 6b + -6b Combine like terms: 6b + -6b = 0 -3 + 30b = 97 + 0 -3 + 30b = 97 Add '3' to each side of the equation. -3 + 3 + 30b = 97 + 3 Combine like terms: -3 + 3 = 0 0 + 30b = 97 + 3 30b = 97 + 3 Combine like terms: 97 + 3 = 100 30b = 100 Divide each side by '30'. b = 3.333333333 Simplifying b = 3.333333333
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