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Simplifying 6(6b + 5) + -9(8b + -6) = 0 Reorder the terms: 6(5 + 6b) + -9(8b + -6) = 0 (5 * 6 + 6b * 6) + -9(8b + -6) = 0 (30 + 36b) + -9(8b + -6) = 0 Reorder the terms: 30 + 36b + -9(-6 + 8b) = 0 30 + 36b + (-6 * -9 + 8b * -9) = 0 30 + 36b + (54 + -72b) = 0 Reorder the terms: 30 + 54 + 36b + -72b = 0 Combine like terms: 30 + 54 = 84 84 + 36b + -72b = 0 Combine like terms: 36b + -72b = -36b 84 + -36b = 0 Solving 84 + -36b = 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 + -36b = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -36b = 0 + -84 -36b = 0 + -84 Combine like terms: 0 + -84 = -84 -36b = -84 Divide each side by '-36'. b = 2.333333333 Simplifying b = 2.333333333
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