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Simplifying 9(4b + -1) = 2(9b) + 3 Reorder the terms: 9(-1 + 4b) = 2(9b) + 3 (-1 * 9 + 4b * 9) = 2(9b) + 3 (-9 + 36b) = 2(9b) + 3 Remove parenthesis around (9b) -9 + 36b = 2 * 9b + 3 Multiply 2 * 9 -9 + 36b = 18b + 3 Reorder the terms: -9 + 36b = 3 + 18b Solving -9 + 36b = 3 + 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 = 3 + 18b + -18b Combine like terms: 36b + -18b = 18b -9 + 18b = 3 + 18b + -18b Combine like terms: 18b + -18b = 0 -9 + 18b = 3 + 0 -9 + 18b = 3 Add '9' to each side of the equation. -9 + 9 + 18b = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 18b = 3 + 9 18b = 3 + 9 Combine like terms: 3 + 9 = 12 18b = 12 Divide each side by '18'. b = 0.6666666667 Simplifying b = 0.6666666667
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