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Simplifying 7 + 12(3 + b) = 31 7 + (3 * 12 + b * 12) = 31 7 + (36 + 12b) = 31 Combine like terms: 7 + 36 = 43 43 + 12b = 31 Solving 43 + 12b = 31 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 12b = 31 + -43 Combine like terms: 43 + -43 = 0 0 + 12b = 31 + -43 12b = 31 + -43 Combine like terms: 31 + -43 = -12 12b = -12 Divide each side by '12'. b = -1 Simplifying b = -1
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