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Simplifying 0.75(8b + 4) = 4b + 14 Reorder the terms: 0.75(4 + 8b) = 4b + 14 (4 * 0.75 + 8b * 0.75) = 4b + 14 (3 + 6b) = 4b + 14 Reorder the terms: 3 + 6b = 14 + 4b Solving 3 + 6b = 14 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 3 + 6b + -4b = 14 + 4b + -4b Combine like terms: 6b + -4b = 2b 3 + 2b = 14 + 4b + -4b Combine like terms: 4b + -4b = 0 3 + 2b = 14 + 0 3 + 2b = 14 Add '-3' to each side of the equation. 3 + -3 + 2b = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 14 + -3 2b = 14 + -3 Combine like terms: 14 + -3 = 11 2b = 11 Divide each side by '2'. b = 5.5 Simplifying b = 5.5
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