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Simplifying -6 + 5b + 15 = 3b + 15 Reorder the terms: -6 + 15 + 5b = 3b + 15 Combine like terms: -6 + 15 = 9 9 + 5b = 3b + 15 Reorder the terms: 9 + 5b = 15 + 3b Solving 9 + 5b = 15 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 9 + 5b + -3b = 15 + 3b + -3b Combine like terms: 5b + -3b = 2b 9 + 2b = 15 + 3b + -3b Combine like terms: 3b + -3b = 0 9 + 2b = 15 + 0 9 + 2b = 15 Add '-9' to each side of the equation. 9 + -9 + 2b = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 2b = 15 + -9 2b = 15 + -9 Combine like terms: 15 + -9 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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