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Simplifying 3(5 + -9b) + 11 = 313 (5 * 3 + -9b * 3) + 11 = 313 (15 + -27b) + 11 = 313 Reorder the terms: 15 + 11 + -27b = 313 Combine like terms: 15 + 11 = 26 26 + -27b = 313 Solving 26 + -27b = 313 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -27b = 313 + -26 Combine like terms: 26 + -26 = 0 0 + -27b = 313 + -26 -27b = 313 + -26 Combine like terms: 313 + -26 = 287 -27b = 287 Divide each side by '-27'. b = -10.62962963 Simplifying b = -10.62962963
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