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Simplifying 7(b + 3) + 5 = 20 + 8b Reorder the terms: 7(3 + b) + 5 = 20 + 8b (3 * 7 + b * 7) + 5 = 20 + 8b (21 + 7b) + 5 = 20 + 8b Reorder the terms: 21 + 5 + 7b = 20 + 8b Combine like terms: 21 + 5 = 26 26 + 7b = 20 + 8b Solving 26 + 7b = 20 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 26 + 7b + -8b = 20 + 8b + -8b Combine like terms: 7b + -8b = -1b 26 + -1b = 20 + 8b + -8b Combine like terms: 8b + -8b = 0 26 + -1b = 20 + 0 26 + -1b = 20 Add '-26' to each side of the equation. 26 + -26 + -1b = 20 + -26 Combine like terms: 26 + -26 = 0 0 + -1b = 20 + -26 -1b = 20 + -26 Combine like terms: 20 + -26 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6
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