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