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Simplifying 9(4b + -1) = 2 + -1(9b + 3) Reorder the terms: 9(-1 + 4b) = 2 + -1(9b + 3) (-1 * 9 + 4b * 9) = 2 + -1(9b + 3) (-9 + 36b) = 2 + -1(9b + 3) Reorder the terms: -9 + 36b = 2 + -1(3 + 9b) -9 + 36b = 2 + (3 * -1 + 9b * -1) -9 + 36b = 2 + (-3 + -9b) Combine like terms: 2 + -3 = -1 -9 + 36b = -1 + -9b Solving -9 + 36b = -1 + -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 = -1 + -9b + 9b Combine like terms: 36b + 9b = 45b -9 + 45b = -1 + -9b + 9b Combine like terms: -9b + 9b = 0 -9 + 45b = -1 + 0 -9 + 45b = -1 Add '9' to each side of the equation. -9 + 9 + 45b = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 45b = -1 + 9 45b = -1 + 9 Combine like terms: -1 + 9 = 8 45b = 8 Divide each side by '45'. b = 0.1777777778 Simplifying b = 0.1777777778
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