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Simplifying 0 = -9(-8 + 4b) + 6(b + 8) 0 = (-8 * -9 + 4b * -9) + 6(b + 8) 0 = (72 + -36b) + 6(b + 8) Reorder the terms: 0 = 72 + -36b + 6(8 + b) 0 = 72 + -36b + (8 * 6 + b * 6) 0 = 72 + -36b + (48 + 6b) Reorder the terms: 0 = 72 + 48 + -36b + 6b Combine like terms: 72 + 48 = 120 0 = 120 + -36b + 6b Combine like terms: -36b + 6b = -30b 0 = 120 + -30b Solving 0 = 120 + -30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30b' to each side of the equation. 0 + 30b = 120 + -30b + 30b Remove the zero: 30b = 120 + -30b + 30b Combine like terms: -30b + 30b = 0 30b = 120 + 0 30b = 120 Divide each side by '30'. b = 4 Simplifying b = 4
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