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Simplifying 17 = 9 + 5(b + 8) Reorder the terms: 17 = 9 + 5(8 + b) 17 = 9 + (8 * 5 + b * 5) 17 = 9 + (40 + 5b) Combine like terms: 9 + 40 = 49 17 = 49 + 5b Solving 17 = 49 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 17 + -5b = 49 + 5b + -5b Combine like terms: 5b + -5b = 0 17 + -5b = 49 + 0 17 + -5b = 49 Add '-17' to each side of the equation. 17 + -17 + -5b = 49 + -17 Combine like terms: 17 + -17 = 0 0 + -5b = 49 + -17 -5b = 49 + -17 Combine like terms: 49 + -17 = 32 -5b = 32 Divide each side by '-5'. b = -6.4 Simplifying b = -6.4
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