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Simplifying b + -5(1 + -8b) = -5 + 3b b + (1 * -5 + -8b * -5) = -5 + 3b b + (-5 + 40b) = -5 + 3b Reorder the terms: -5 + b + 40b = -5 + 3b Combine like terms: b + 40b = 41b -5 + 41b = -5 + 3b Add '5' to each side of the equation. -5 + 5 + 41b = -5 + 5 + 3b Combine like terms: -5 + 5 = 0 0 + 41b = -5 + 5 + 3b 41b = -5 + 5 + 3b Combine like terms: -5 + 5 = 0 41b = 0 + 3b 41b = 3b Solving 41b = 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 41b + -3b = 3b + -3b Combine like terms: 41b + -3b = 38b 38b = 3b + -3b Combine like terms: 3b + -3b = 0 38b = 0 Divide each side by '38'. b = 0 Simplifying b = 0
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