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Simplifying 9(4b + -1) = (9b + 3) Reorder the terms: 9(-1 + 4b) = (9b + 3) (-1 * 9 + 4b * 9) = (9b + 3) (-9 + 36b) = (9b + 3) Reorder the terms: -9 + 36b = (3 + 9b) Remove parenthesis around (3 + 9b) -9 + 36b = 3 + 9b Solving -9 + 36b = 3 + 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. -9 + 36b + -9b = 3 + 9b + -9b Combine like terms: 36b + -9b = 27b -9 + 27b = 3 + 9b + -9b Combine like terms: 9b + -9b = 0 -9 + 27b = 3 + 0 -9 + 27b = 3 Add '9' to each side of the equation. -9 + 9 + 27b = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 27b = 3 + 9 27b = 3 + 9 Combine like terms: 3 + 9 = 12 27b = 12 Divide each side by '27'. b = 0.4444444444 Simplifying b = 0.4444444444
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