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Simplifying 9(4b + -1) = 2(9b + 2) + 1 Reorder the terms: 9(-1 + 4b) = 2(9b + 2) + 1 (-1 * 9 + 4b * 9) = 2(9b + 2) + 1 (-9 + 36b) = 2(9b + 2) + 1 Reorder the terms: -9 + 36b = 2(2 + 9b) + 1 -9 + 36b = (2 * 2 + 9b * 2) + 1 -9 + 36b = (4 + 18b) + 1 Reorder the terms: -9 + 36b = 4 + 1 + 18b Combine like terms: 4 + 1 = 5 -9 + 36b = 5 + 18b Solving -9 + 36b = 5 + 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 = 5 + 18b + -18b Combine like terms: 36b + -18b = 18b -9 + 18b = 5 + 18b + -18b Combine like terms: 18b + -18b = 0 -9 + 18b = 5 + 0 -9 + 18b = 5 Add '9' to each side of the equation. -9 + 9 + 18b = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 18b = 5 + 9 18b = 5 + 9 Combine like terms: 5 + 9 = 14 18b = 14 Divide each side by '18'. b = 0.7777777778 Simplifying b = 0.7777777778
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