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Simplifying 10b + 4 + 3b + -1 = 7 + b + 20 Reorder the terms: 4 + -1 + 10b + 3b = 7 + b + 20 Combine like terms: 4 + -1 = 3 3 + 10b + 3b = 7 + b + 20 Combine like terms: 10b + 3b = 13b 3 + 13b = 7 + b + 20 Reorder the terms: 3 + 13b = 7 + 20 + b Combine like terms: 7 + 20 = 27 3 + 13b = 27 + b Solving 3 + 13b = 27 + 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. 3 + 13b + -1b = 27 + b + -1b Combine like terms: 13b + -1b = 12b 3 + 12b = 27 + b + -1b Combine like terms: b + -1b = 0 3 + 12b = 27 + 0 3 + 12b = 27 Add '-3' to each side of the equation. 3 + -3 + 12b = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 12b = 27 + -3 12b = 27 + -3 Combine like terms: 27 + -3 = 24 12b = 24 Divide each side by '12'. b = 2 Simplifying b = 2
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