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Simplifying 9(4b + -9) = 2(9b + 3) Reorder the terms: 9(-9 + 4b) = 2(9b + 3) (-9 * 9 + 4b * 9) = 2(9b + 3) (-81 + 36b) = 2(9b + 3) Reorder the terms: -81 + 36b = 2(3 + 9b) -81 + 36b = (3 * 2 + 9b * 2) -81 + 36b = (6 + 18b) Solving -81 + 36b = 6 + 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. -81 + 36b + -18b = 6 + 18b + -18b Combine like terms: 36b + -18b = 18b -81 + 18b = 6 + 18b + -18b Combine like terms: 18b + -18b = 0 -81 + 18b = 6 + 0 -81 + 18b = 6 Add '81' to each side of the equation. -81 + 81 + 18b = 6 + 81 Combine like terms: -81 + 81 = 0 0 + 18b = 6 + 81 18b = 6 + 81 Combine like terms: 6 + 81 = 87 18b = 87 Divide each side by '18'. b = 4.833333333 Simplifying b = 4.833333333
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