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Simplifying 9(46 + -1) = 2(9b + 3) Combine like terms: 46 + -1 = 45 9(45) = 2(9b + 3) Multiply 9 * 45 405 = 2(9b + 3) Reorder the terms: 405 = 2(3 + 9b) 405 = (3 * 2 + 9b * 2) 405 = (6 + 18b) Solving 405 = 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. 405 + -18b = 6 + 18b + -18b Combine like terms: 18b + -18b = 0 405 + -18b = 6 + 0 405 + -18b = 6 Add '-405' to each side of the equation. 405 + -405 + -18b = 6 + -405 Combine like terms: 405 + -405 = 0 0 + -18b = 6 + -405 -18b = 6 + -405 Combine like terms: 6 + -405 = -399 -18b = -399 Divide each side by '-18'. b = 22.16666667 Simplifying b = 22.16666667
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