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Simplifying 6(b + 8) + -9(3b + -4) = 0 Reorder the terms: 6(8 + b) + -9(3b + -4) = 0 (8 * 6 + b * 6) + -9(3b + -4) = 0 (48 + 6b) + -9(3b + -4) = 0 Reorder the terms: 48 + 6b + -9(-4 + 3b) = 0 48 + 6b + (-4 * -9 + 3b * -9) = 0 48 + 6b + (36 + -27b) = 0 Reorder the terms: 48 + 36 + 6b + -27b = 0 Combine like terms: 48 + 36 = 84 84 + 6b + -27b = 0 Combine like terms: 6b + -27b = -21b 84 + -21b = 0 Solving 84 + -21b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -21b = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -21b = 0 + -84 -21b = 0 + -84 Combine like terms: 0 + -84 = -84 -21b = -84 Divide each side by '-21'. b = 4 Simplifying b = 4
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