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Simplifying -3(b + 2) + -1[9 + -5(8b + -1)] = 0 Reorder the terms: -3(2 + b) + -1[9 + -5(8b + -1)] = 0 (2 * -3 + b * -3) + -1[9 + -5(8b + -1)] = 0 (-6 + -3b) + -1[9 + -5(8b + -1)] = 0 Reorder the terms: -6 + -3b + -1[9 + -5(-1 + 8b)] = 0 -6 + -3b + -1[9 + (-1 * -5 + 8b * -5)] = 0 -6 + -3b + -1[9 + (5 + -40b)] = 0 Combine like terms: 9 + 5 = 14 -6 + -3b + -1[14 + -40b] = 0 -6 + -3b + [14 * -1 + -40b * -1] = 0 -6 + -3b + [-14 + 40b] = 0 Reorder the terms: -6 + -14 + -3b + 40b = 0 Combine like terms: -6 + -14 = -20 -20 + -3b + 40b = 0 Combine like terms: -3b + 40b = 37b -20 + 37b = 0 Solving -20 + 37b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 37b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 37b = 0 + 20 37b = 0 + 20 Combine like terms: 0 + 20 = 20 37b = 20 Divide each side by '37'. b = 0.5405405405 Simplifying b = 0.5405405405
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