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Simplifying 2(b + 2) = 3(4 + -1b) Reorder the terms: 2(2 + b) = 3(4 + -1b) (2 * 2 + b * 2) = 3(4 + -1b) (4 + 2b) = 3(4 + -1b) 4 + 2b = (4 * 3 + -1b * 3) 4 + 2b = (12 + -3b) Solving 4 + 2b = 12 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 4 + 2b + 3b = 12 + -3b + 3b Combine like terms: 2b + 3b = 5b 4 + 5b = 12 + -3b + 3b Combine like terms: -3b + 3b = 0 4 + 5b = 12 + 0 4 + 5b = 12 Add '-4' to each side of the equation. 4 + -4 + 5b = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = 12 + -4 5b = 12 + -4 Combine like terms: 12 + -4 = 8 5b = 8 Divide each side by '5'. b = 1.6 Simplifying b = 1.6
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