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Simplifying -6(9b + -3) = 17 + 5b Reorder the terms: -6(-3 + 9b) = 17 + 5b (-3 * -6 + 9b * -6) = 17 + 5b (18 + -54b) = 17 + 5b Solving 18 + -54b = 17 + 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. 18 + -54b + -5b = 17 + 5b + -5b Combine like terms: -54b + -5b = -59b 18 + -59b = 17 + 5b + -5b Combine like terms: 5b + -5b = 0 18 + -59b = 17 + 0 18 + -59b = 17 Add '-18' to each side of the equation. 18 + -18 + -59b = 17 + -18 Combine like terms: 18 + -18 = 0 0 + -59b = 17 + -18 -59b = 17 + -18 Combine like terms: 17 + -18 = -1 -59b = -1 Divide each side by '-59'. b = 0.01694915254 Simplifying b = 0.01694915254
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