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Simplifying 9(4b + -1) = 3(9b + 3) Reorder the terms: 9(-1 + 4b) = 3(9b + 3) (-1 * 9 + 4b * 9) = 3(9b + 3) (-9 + 36b) = 3(9b + 3) Reorder the terms: -9 + 36b = 3(3 + 9b) -9 + 36b = (3 * 3 + 9b * 3) -9 + 36b = (9 + 27b) Solving -9 + 36b = 9 + 27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27b' to each side of the equation. -9 + 36b + -27b = 9 + 27b + -27b Combine like terms: 36b + -27b = 9b -9 + 9b = 9 + 27b + -27b Combine like terms: 27b + -27b = 0 -9 + 9b = 9 + 0 -9 + 9b = 9 Add '9' to each side of the equation. -9 + 9 + 9b = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 9b = 9 + 9 9b = 9 + 9 Combine like terms: 9 + 9 = 18 9b = 18 Divide each side by '9'. b = 2 Simplifying b = 2
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