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Simplifying 1 + 8(3b + 2) = 5(4b + 9) Reorder the terms: 1 + 8(2 + 3b) = 5(4b + 9) 1 + (2 * 8 + 3b * 8) = 5(4b + 9) 1 + (16 + 24b) = 5(4b + 9) Combine like terms: 1 + 16 = 17 17 + 24b = 5(4b + 9) Reorder the terms: 17 + 24b = 5(9 + 4b) 17 + 24b = (9 * 5 + 4b * 5) 17 + 24b = (45 + 20b) Solving 17 + 24b = 45 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 17 + 24b + -20b = 45 + 20b + -20b Combine like terms: 24b + -20b = 4b 17 + 4b = 45 + 20b + -20b Combine like terms: 20b + -20b = 0 17 + 4b = 45 + 0 17 + 4b = 45 Add '-17' to each side of the equation. 17 + -17 + 4b = 45 + -17 Combine like terms: 17 + -17 = 0 0 + 4b = 45 + -17 4b = 45 + -17 Combine like terms: 45 + -17 = 28 4b = 28 Divide each side by '4'. b = 7 Simplifying b = 7
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