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Simplifying 8 + 7(1 + 2b) = 31 8 + (1 * 7 + 2b * 7) = 31 8 + (7 + 14b) = 31 Combine like terms: 8 + 7 = 15 15 + 14b = 31 Solving 15 + 14b = 31 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14b = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 14b = 31 + -15 14b = 31 + -15 Combine like terms: 31 + -15 = 16 14b = 16 Divide each side by '14'. b = 1.142857143 Simplifying b = 1.142857143
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