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Simplifying 7 + 3b = b + 2 + 7 + 14 Reorder the terms: 7 + 3b = 2 + 7 + 14 + b Combine like terms: 2 + 7 = 9 7 + 3b = 9 + 14 + b Combine like terms: 9 + 14 = 23 7 + 3b = 23 + b Solving 7 + 3b = 23 + 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. 7 + 3b + -1b = 23 + b + -1b Combine like terms: 3b + -1b = 2b 7 + 2b = 23 + b + -1b Combine like terms: b + -1b = 0 7 + 2b = 23 + 0 7 + 2b = 23 Add '-7' to each side of the equation. 7 + -7 + 2b = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = 23 + -7 2b = 23 + -7 Combine like terms: 23 + -7 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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