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Simplifying 8(b + 4) + 3(2b + -6) = 0 Reorder the terms: 8(4 + b) + 3(2b + -6) = 0 (4 * 8 + b * 8) + 3(2b + -6) = 0 (32 + 8b) + 3(2b + -6) = 0 Reorder the terms: 32 + 8b + 3(-6 + 2b) = 0 32 + 8b + (-6 * 3 + 2b * 3) = 0 32 + 8b + (-18 + 6b) = 0 Reorder the terms: 32 + -18 + 8b + 6b = 0 Combine like terms: 32 + -18 = 14 14 + 8b + 6b = 0 Combine like terms: 8b + 6b = 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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