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Simplifying -5(6b + -8) = 30 + -9b Reorder the terms: -5(-8 + 6b) = 30 + -9b (-8 * -5 + 6b * -5) = 30 + -9b (40 + -30b) = 30 + -9b Solving 40 + -30b = 30 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. 40 + -30b + 9b = 30 + -9b + 9b Combine like terms: -30b + 9b = -21b 40 + -21b = 30 + -9b + 9b Combine like terms: -9b + 9b = 0 40 + -21b = 30 + 0 40 + -21b = 30 Add '-40' to each side of the equation. 40 + -40 + -21b = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -21b = 30 + -40 -21b = 30 + -40 Combine like terms: 30 + -40 = -10 -21b = -10 Divide each side by '-21'. b = 0.4761904762 Simplifying b = 0.4761904762
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