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Simplifying 2 + 5(3b + 9) + -9 = 0 Reorder the terms: 2 + 5(9 + 3b) + -9 = 0 2 + (9 * 5 + 3b * 5) + -9 = 0 2 + (45 + 15b) + -9 = 0 Reorder the terms: 2 + 45 + -9 + 15b = 0 Combine like terms: 2 + 45 = 47 47 + -9 + 15b = 0 Combine like terms: 47 + -9 = 38 38 + 15b = 0 Solving 38 + 15b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 15b = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 15b = 0 + -38 15b = 0 + -38 Combine like terms: 0 + -38 = -38 15b = -38 Divide each side by '15'. b = -2.533333333 Simplifying b = -2.533333333
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