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Simplifying 20 + 5b = 2(b + 8) + 7 Reorder the terms: 20 + 5b = 2(8 + b) + 7 20 + 5b = (8 * 2 + b * 2) + 7 20 + 5b = (16 + 2b) + 7 Reorder the terms: 20 + 5b = 16 + 7 + 2b Combine like terms: 16 + 7 = 23 20 + 5b = 23 + 2b Solving 20 + 5b = 23 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 20 + 5b + -2b = 23 + 2b + -2b Combine like terms: 5b + -2b = 3b 20 + 3b = 23 + 2b + -2b Combine like terms: 2b + -2b = 0 20 + 3b = 23 + 0 20 + 3b = 23 Add '-20' to each side of the equation. 20 + -20 + 3b = 23 + -20 Combine like terms: 20 + -20 = 0 0 + 3b = 23 + -20 3b = 23 + -20 Combine like terms: 23 + -20 = 3 3b = 3 Divide each side by '3'. b = 1 Simplifying b = 1
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