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Simplifying 2(4b + 8) = 4 + 6b Reorder the terms: 2(8 + 4b) = 4 + 6b (8 * 2 + 4b * 2) = 4 + 6b (16 + 8b) = 4 + 6b Solving 16 + 8b = 4 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 16 + 8b + -6b = 4 + 6b + -6b Combine like terms: 8b + -6b = 2b 16 + 2b = 4 + 6b + -6b Combine like terms: 6b + -6b = 0 16 + 2b = 4 + 0 16 + 2b = 4 Add '-16' to each side of the equation. 16 + -16 + 2b = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2b = 4 + -16 2b = 4 + -16 Combine like terms: 4 + -16 = -12 2b = -12 Divide each side by '2'. b = -6 Simplifying b = -6
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