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Simplifying 12 + 3(2 + b) = 5(3 + -1b) 12 + (2 * 3 + b * 3) = 5(3 + -1b) 12 + (6 + 3b) = 5(3 + -1b) Combine like terms: 12 + 6 = 18 18 + 3b = 5(3 + -1b) 18 + 3b = (3 * 5 + -1b * 5) 18 + 3b = (15 + -5b) Solving 18 + 3b = 15 + -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. 18 + 3b + 5b = 15 + -5b + 5b Combine like terms: 3b + 5b = 8b 18 + 8b = 15 + -5b + 5b Combine like terms: -5b + 5b = 0 18 + 8b = 15 + 0 18 + 8b = 15 Add '-18' to each side of the equation. 18 + -18 + 8b = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 8b = 15 + -18 8b = 15 + -18 Combine like terms: 15 + -18 = -3 8b = -3 Divide each side by '8'. b = -0.375 Simplifying b = -0.375
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