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Simplifying 2(b + 5) = b + 14 Reorder the terms: 2(5 + b) = b + 14 (5 * 2 + b * 2) = b + 14 (10 + 2b) = b + 14 Reorder the terms: 10 + 2b = 14 + b Solving 10 + 2b = 14 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 10 + 2b + -1b = 14 + b + -1b Combine like terms: 2b + -1b = 1b 10 + 1b = 14 + b + -1b Combine like terms: b + -1b = 0 10 + 1b = 14 + 0 10 + 1b = 14 Add '-10' to each side of the equation. 10 + -10 + 1b = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 1b = 14 + -10 1b = 14 + -10 Combine like terms: 14 + -10 = 4 1b = 4 Divide each side by '1'. b = 4 Simplifying b = 4
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