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Simplifying 39 + b = 5b + -5(1 + -8b) 39 + b = 5b + (1 * -5 + -8b * -5) 39 + b = 5b + (-5 + 40b) Reorder the terms: 39 + b = -5 + 5b + 40b Combine like terms: 5b + 40b = 45b 39 + b = -5 + 45b Solving 39 + b = -5 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. 39 + b + -45b = -5 + 45b + -45b Combine like terms: b + -45b = -44b 39 + -44b = -5 + 45b + -45b Combine like terms: 45b + -45b = 0 39 + -44b = -5 + 0 39 + -44b = -5 Add '-39' to each side of the equation. 39 + -39 + -44b = -5 + -39 Combine like terms: 39 + -39 = 0 0 + -44b = -5 + -39 -44b = -5 + -39 Combine like terms: -5 + -39 = -44 -44b = -44 Divide each side by '-44'. b = 1 Simplifying b = 1
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