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Simplifying 3b + 8 = 5(4 + -1b) Reorder the terms: 8 + 3b = 5(4 + -1b) 8 + 3b = (4 * 5 + -1b * 5) 8 + 3b = (20 + -5b) Solving 8 + 3b = 20 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 8 + 3b + 5b = 20 + -5b + 5b Combine like terms: 3b + 5b = 8b 8 + 8b = 20 + -5b + 5b Combine like terms: -5b + 5b = 0 8 + 8b = 20 + 0 8 + 8b = 20 Add '-8' to each side of the equation. 8 + -8 + 8b = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 8b = 20 + -8 8b = 20 + -8 Combine like terms: 20 + -8 = 12 8b = 12 Divide each side by '8'. b = 1.5 Simplifying b = 1.5
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