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Simplifying 3b + 2(b + 2) = 13 + -1(2b + -5) Reorder the terms: 3b + 2(2 + b) = 13 + -1(2b + -5) 3b + (2 * 2 + b * 2) = 13 + -1(2b + -5) 3b + (4 + 2b) = 13 + -1(2b + -5) Reorder the terms: 4 + 3b + 2b = 13 + -1(2b + -5) Combine like terms: 3b + 2b = 5b 4 + 5b = 13 + -1(2b + -5) Reorder the terms: 4 + 5b = 13 + -1(-5 + 2b) 4 + 5b = 13 + (-5 * -1 + 2b * -1) 4 + 5b = 13 + (5 + -2b) Combine like terms: 13 + 5 = 18 4 + 5b = 18 + -2b Solving 4 + 5b = 18 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 4 + 5b + 2b = 18 + -2b + 2b Combine like terms: 5b + 2b = 7b 4 + 7b = 18 + -2b + 2b Combine like terms: -2b + 2b = 0 4 + 7b = 18 + 0 4 + 7b = 18 Add '-4' to each side of the equation. 4 + -4 + 7b = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7b = 18 + -4 7b = 18 + -4 Combine like terms: 18 + -4 = 14 7b = 14 Divide each side by '7'. b = 2 Simplifying b = 2
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