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Simplifying (b + -9) + -1(b + 3) = 8b Reorder the terms: (-9 + b) + -1(b + 3) = 8b Remove parenthesis around (-9 + b) -9 + b + -1(b + 3) = 8b Reorder the terms: -9 + b + -1(3 + b) = 8b -9 + b + (3 * -1 + b * -1) = 8b -9 + b + (-3 + -1b) = 8b Reorder the terms: -9 + -3 + b + -1b = 8b Combine like terms: -9 + -3 = -12 -12 + b + -1b = 8b Combine like terms: b + -1b = 0 -12 + 0 = 8b -12 = 8b Solving -12 = 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -12 + -8b = 8b + -8b Combine like terms: 8b + -8b = 0 -12 + -8b = 0 Add '12' to each side of the equation. -12 + 12 + -8b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -8b = 0 + 12 -8b = 0 + 12 Combine like terms: 0 + 12 = 12 -8b = 12 Divide each side by '-8'. b = -1.5 Simplifying b = -1.5
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