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Simplifying 5(1 + 8b) = b + -34 (1 * 5 + 8b * 5) = b + -34 (5 + 40b) = b + -34 Reorder the terms: 5 + 40b = -34 + b Solving 5 + 40b = -34 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 5 + 40b + -1b = -34 + b + -1b Combine like terms: 40b + -1b = 39b 5 + 39b = -34 + b + -1b Combine like terms: b + -1b = 0 5 + 39b = -34 + 0 5 + 39b = -34 Add '-5' to each side of the equation. 5 + -5 + 39b = -34 + -5 Combine like terms: 5 + -5 = 0 0 + 39b = -34 + -5 39b = -34 + -5 Combine like terms: -34 + -5 = -39 39b = -39 Divide each side by '39'. b = -1 Simplifying b = -1
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