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Simplifying b + 7 = -9 + -1b Reorder the terms: 7 + b = -9 + -1b Solving 7 + b = -9 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 7 + b + b = -9 + -1b + b Combine like terms: b + b = 2b 7 + 2b = -9 + -1b + b Combine like terms: -1b + b = 0 7 + 2b = -9 + 0 7 + 2b = -9 Add '-7' to each side of the equation. 7 + -7 + 2b = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 2b = -9 + -7 2b = -9 + -7 Combine like terms: -9 + -7 = -16 2b = -16 Divide each side by '2'. b = -8 Simplifying b = -8
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