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Simplifying -9(5b + -6) + -9(-8b + 10) = 0 Reorder the terms: -9(-6 + 5b) + -9(-8b + 10) = 0 (-6 * -9 + 5b * -9) + -9(-8b + 10) = 0 (54 + -45b) + -9(-8b + 10) = 0 Reorder the terms: 54 + -45b + -9(10 + -8b) = 0 54 + -45b + (10 * -9 + -8b * -9) = 0 54 + -45b + (-90 + 72b) = 0 Reorder the terms: 54 + -90 + -45b + 72b = 0 Combine like terms: 54 + -90 = -36 -36 + -45b + 72b = 0 Combine like terms: -45b + 72b = 27b -36 + 27b = 0 Solving -36 + 27b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 27b = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 27b = 0 + 36 27b = 0 + 36 Combine like terms: 0 + 36 = 36 27b = 36 Divide each side by '27'. b = 1.333333333 Simplifying b = 1.333333333
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