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Simplifying 2(b + 9) + 8(4b + -1) = 0 Reorder the terms: 2(9 + b) + 8(4b + -1) = 0 (9 * 2 + b * 2) + 8(4b + -1) = 0 (18 + 2b) + 8(4b + -1) = 0 Reorder the terms: 18 + 2b + 8(-1 + 4b) = 0 18 + 2b + (-1 * 8 + 4b * 8) = 0 18 + 2b + (-8 + 32b) = 0 Reorder the terms: 18 + -8 + 2b + 32b = 0 Combine like terms: 18 + -8 = 10 10 + 2b + 32b = 0 Combine like terms: 2b + 32b = 34b 10 + 34b = 0 Solving 10 + 34b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 34b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 34b = 0 + -10 34b = 0 + -10 Combine like terms: 0 + -10 = -10 34b = -10 Divide each side by '34'. b = -0.2941176471 Simplifying b = -0.2941176471
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