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Simplifying 31 + -5b + 9 + 12b + -10 = 72 Reorder the terms: 31 + 9 + -10 + -5b + 12b = 72 Combine like terms: 31 + 9 = 40 40 + -10 + -5b + 12b = 72 Combine like terms: 40 + -10 = 30 30 + -5b + 12b = 72 Combine like terms: -5b + 12b = 7b 30 + 7b = 72 Solving 30 + 7b = 72 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7b = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 7b = 72 + -30 7b = 72 + -30 Combine like terms: 72 + -30 = 42 7b = 42 Divide each side by '7'. b = 6 Simplifying b = 6
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