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