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Simplifying b + 3 = 2b + 4 + -9b + -7 Reorder the terms: 3 + b = 2b + 4 + -9b + -7 Reorder the terms: 3 + b = 4 + -7 + 2b + -9b Combine like terms: 4 + -7 = -3 3 + b = -3 + 2b + -9b Combine like terms: 2b + -9b = -7b 3 + b = -3 + -7b Solving 3 + b = -3 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 3 + b + 7b = -3 + -7b + 7b Combine like terms: b + 7b = 8b 3 + 8b = -3 + -7b + 7b Combine like terms: -7b + 7b = 0 3 + 8b = -3 + 0 3 + 8b = -3 Add '-3' to each side of the equation. 3 + -3 + 8b = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 8b = -3 + -3 8b = -3 + -3 Combine like terms: -3 + -3 = -6 8b = -6 Divide each side by '8'. b = -0.75 Simplifying b = -0.75
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