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Simplifying 6b + 15 = -2b + -9 Reorder the terms: 15 + 6b = -2b + -9 Reorder the terms: 15 + 6b = -9 + -2b Solving 15 + 6b = -9 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 15 + 6b + 2b = -9 + -2b + 2b Combine like terms: 6b + 2b = 8b 15 + 8b = -9 + -2b + 2b Combine like terms: -2b + 2b = 0 15 + 8b = -9 + 0 15 + 8b = -9 Add '-15' to each side of the equation. 15 + -15 + 8b = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 8b = -9 + -15 8b = -9 + -15 Combine like terms: -9 + -15 = -24 8b = -24 Divide each side by '8'. b = -3 Simplifying b = -3
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