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Simplifying 9(4b + -1) = 2(9b + 30) Reorder the terms: 9(-1 + 4b) = 2(9b + 30) (-1 * 9 + 4b * 9) = 2(9b + 30) (-9 + 36b) = 2(9b + 30) Reorder the terms: -9 + 36b = 2(30 + 9b) -9 + 36b = (30 * 2 + 9b * 2) -9 + 36b = (60 + 18b) Solving -9 + 36b = 60 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -9 + 36b + -18b = 60 + 18b + -18b Combine like terms: 36b + -18b = 18b -9 + 18b = 60 + 18b + -18b Combine like terms: 18b + -18b = 0 -9 + 18b = 60 + 0 -9 + 18b = 60 Add '9' to each side of the equation. -9 + 9 + 18b = 60 + 9 Combine like terms: -9 + 9 = 0 0 + 18b = 60 + 9 18b = 60 + 9 Combine like terms: 60 + 9 = 69 18b = 69 Divide each side by '18'. b = 3.833333333 Simplifying b = 3.833333333
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