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Simplifying 8(3 + -1b) = b + -9 (3 * 8 + -1b * 8) = b + -9 (24 + -8b) = b + -9 Reorder the terms: 24 + -8b = -9 + b Solving 24 + -8b = -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. 24 + -8b + -1b = -9 + b + -1b Combine like terms: -8b + -1b = -9b 24 + -9b = -9 + b + -1b Combine like terms: b + -1b = 0 24 + -9b = -9 + 0 24 + -9b = -9 Add '-24' to each side of the equation. 24 + -24 + -9b = -9 + -24 Combine like terms: 24 + -24 = 0 0 + -9b = -9 + -24 -9b = -9 + -24 Combine like terms: -9 + -24 = -33 -9b = -33 Divide each side by '-9'. b = 3.666666667 Simplifying b = 3.666666667
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