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Simplifying 3(2b + 8) + 2(4b + -5) = 0 Reorder the terms: 3(8 + 2b) + 2(4b + -5) = 0 (8 * 3 + 2b * 3) + 2(4b + -5) = 0 (24 + 6b) + 2(4b + -5) = 0 Reorder the terms: 24 + 6b + 2(-5 + 4b) = 0 24 + 6b + (-5 * 2 + 4b * 2) = 0 24 + 6b + (-10 + 8b) = 0 Reorder the terms: 24 + -10 + 6b + 8b = 0 Combine like terms: 24 + -10 = 14 14 + 6b + 8b = 0 Combine like terms: 6b + 8b = 14b 14 + 14b = 0 Solving 14 + 14b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 14b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 14b = 0 + -14 14b = 0 + -14 Combine like terms: 0 + -14 = -14 14b = -14 Divide each side by '14'. b = -1 Simplifying b = -1
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