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Simplifying 2(b + -10) + 3(8 + 6b) + 9b = 0 Reorder the terms: 2(-10 + b) + 3(8 + 6b) + 9b = 0 (-10 * 2 + b * 2) + 3(8 + 6b) + 9b = 0 (-20 + 2b) + 3(8 + 6b) + 9b = 0 -20 + 2b + (8 * 3 + 6b * 3) + 9b = 0 -20 + 2b + (24 + 18b) + 9b = 0 Reorder the terms: -20 + 24 + 2b + 18b + 9b = 0 Combine like terms: -20 + 24 = 4 4 + 2b + 18b + 9b = 0 Combine like terms: 2b + 18b = 20b 4 + 20b + 9b = 0 Combine like terms: 20b + 9b = 29b 4 + 29b = 0 Solving 4 + 29b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 29b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 29b = 0 + -4 29b = 0 + -4 Combine like terms: 0 + -4 = -4 29b = -4 Divide each side by '29'. b = -0.1379310345 Simplifying b = -0.1379310345
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