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Simplifying 3b + 1 = 5(8 + -2b) Reorder the terms: 1 + 3b = 5(8 + -2b) 1 + 3b = (8 * 5 + -2b * 5) 1 + 3b = (40 + -10b) Solving 1 + 3b = 40 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 1 + 3b + 10b = 40 + -10b + 10b Combine like terms: 3b + 10b = 13b 1 + 13b = 40 + -10b + 10b Combine like terms: -10b + 10b = 0 1 + 13b = 40 + 0 1 + 13b = 40 Add '-1' to each side of the equation. 1 + -1 + 13b = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 13b = 40 + -1 13b = 40 + -1 Combine like terms: 40 + -1 = 39 13b = 39 Divide each side by '13'. b = 3 Simplifying b = 3
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