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Simplifying 2(3b + 5) + 4b = 14 + -2b Reorder the terms: 2(5 + 3b) + 4b = 14 + -2b (5 * 2 + 3b * 2) + 4b = 14 + -2b (10 + 6b) + 4b = 14 + -2b Combine like terms: 6b + 4b = 10b 10 + 10b = 14 + -2b Solving 10 + 10b = 14 + -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. 10 + 10b + 2b = 14 + -2b + 2b Combine like terms: 10b + 2b = 12b 10 + 12b = 14 + -2b + 2b Combine like terms: -2b + 2b = 0 10 + 12b = 14 + 0 10 + 12b = 14 Add '-10' to each side of the equation. 10 + -10 + 12b = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 12b = 14 + -10 12b = 14 + -10 Combine like terms: 14 + -10 = 4 12b = 4 Divide each side by '12'. b = 0.3333333333 Simplifying b = 0.3333333333
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