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Simplifying 5b + 3b + 9 = 3 + 6b + 4 Reorder the terms: 9 + 5b + 3b = 3 + 6b + 4 Combine like terms: 5b + 3b = 8b 9 + 8b = 3 + 6b + 4 Reorder the terms: 9 + 8b = 3 + 4 + 6b Combine like terms: 3 + 4 = 7 9 + 8b = 7 + 6b Solving 9 + 8b = 7 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 9 + 8b + -6b = 7 + 6b + -6b Combine like terms: 8b + -6b = 2b 9 + 2b = 7 + 6b + -6b Combine like terms: 6b + -6b = 0 9 + 2b = 7 + 0 9 + 2b = 7 Add '-9' to each side of the equation. 9 + -9 + 2b = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 2b = 7 + -9 2b = 7 + -9 Combine like terms: 7 + -9 = -2 2b = -2 Divide each side by '2'. b = -1 Simplifying b = -1
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