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Simplifying 3(8b + 3) + 5b = -2 + 8(b + 4) Reorder the terms: 3(3 + 8b) + 5b = -2 + 8(b + 4) (3 * 3 + 8b * 3) + 5b = -2 + 8(b + 4) (9 + 24b) + 5b = -2 + 8(b + 4) Combine like terms: 24b + 5b = 29b 9 + 29b = -2 + 8(b + 4) Reorder the terms: 9 + 29b = -2 + 8(4 + b) 9 + 29b = -2 + (4 * 8 + b * 8) 9 + 29b = -2 + (32 + 8b) Combine like terms: -2 + 32 = 30 9 + 29b = 30 + 8b Solving 9 + 29b = 30 + 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. 9 + 29b + -8b = 30 + 8b + -8b Combine like terms: 29b + -8b = 21b 9 + 21b = 30 + 8b + -8b Combine like terms: 8b + -8b = 0 9 + 21b = 30 + 0 9 + 21b = 30 Add '-9' to each side of the equation. 9 + -9 + 21b = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 21b = 30 + -9 21b = 30 + -9 Combine like terms: 30 + -9 = 21 21b = 21 Divide each side by '21'. b = 1 Simplifying b = 1
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