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Simplifying 6(4b + 5) = 78 Reorder the terms: 6(5 + 4b) = 78 (5 * 6 + 4b * 6) = 78 (30 + 24b) = 78 Solving 30 + 24b = 78 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 24b = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 24b = 78 + -30 24b = 78 + -30 Combine like terms: 78 + -30 = 48 24b = 48 Divide each side by '24'. b = 2 Simplifying b = 2
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