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Simplifying 9(5b + 8) = 8(5b + 2) Reorder the terms: 9(8 + 5b) = 8(5b + 2) (8 * 9 + 5b * 9) = 8(5b + 2) (72 + 45b) = 8(5b + 2) Reorder the terms: 72 + 45b = 8(2 + 5b) 72 + 45b = (2 * 8 + 5b * 8) 72 + 45b = (16 + 40b) Solving 72 + 45b = 16 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. 72 + 45b + -40b = 16 + 40b + -40b Combine like terms: 45b + -40b = 5b 72 + 5b = 16 + 40b + -40b Combine like terms: 40b + -40b = 0 72 + 5b = 16 + 0 72 + 5b = 16 Add '-72' to each side of the equation. 72 + -72 + 5b = 16 + -72 Combine like terms: 72 + -72 = 0 0 + 5b = 16 + -72 5b = 16 + -72 Combine like terms: 16 + -72 = -56 5b = -56 Divide each side by '5'. b = -11.2 Simplifying b = -11.2
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