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Simplifying 5(2 + 4b) + -2b = 82 (2 * 5 + 4b * 5) + -2b = 82 (10 + 20b) + -2b = 82 Combine like terms: 20b + -2b = 18b 10 + 18b = 82 Solving 10 + 18b = 82 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 18b = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 18b = 82 + -10 18b = 82 + -10 Combine like terms: 82 + -10 = 72 18b = 72 Divide each side by '18'. b = 4 Simplifying b = 4
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