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Simplifying 2(b + 10) = 5 + 7b Reorder the terms: 2(10 + b) = 5 + 7b (10 * 2 + b * 2) = 5 + 7b (20 + 2b) = 5 + 7b Solving 20 + 2b = 5 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 20 + 2b + -7b = 5 + 7b + -7b Combine like terms: 2b + -7b = -5b 20 + -5b = 5 + 7b + -7b Combine like terms: 7b + -7b = 0 20 + -5b = 5 + 0 20 + -5b = 5 Add '-20' to each side of the equation. 20 + -20 + -5b = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -5b = 5 + -20 -5b = 5 + -20 Combine like terms: 5 + -20 = -15 -5b = -15 Divide each side by '-5'. b = 3 Simplifying b = 3
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