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Simplifying 17(2b + 9) = 5(6b + -3) Reorder the terms: 17(9 + 2b) = 5(6b + -3) (9 * 17 + 2b * 17) = 5(6b + -3) (153 + 34b) = 5(6b + -3) Reorder the terms: 153 + 34b = 5(-3 + 6b) 153 + 34b = (-3 * 5 + 6b * 5) 153 + 34b = (-15 + 30b) Solving 153 + 34b = -15 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. 153 + 34b + -30b = -15 + 30b + -30b Combine like terms: 34b + -30b = 4b 153 + 4b = -15 + 30b + -30b Combine like terms: 30b + -30b = 0 153 + 4b = -15 + 0 153 + 4b = -15 Add '-153' to each side of the equation. 153 + -153 + 4b = -15 + -153 Combine like terms: 153 + -153 = 0 0 + 4b = -15 + -153 4b = -15 + -153 Combine like terms: -15 + -153 = -168 4b = -168 Divide each side by '4'. b = -42 Simplifying b = -42
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