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Simplifying 5 + 0.5(6n + 7) = 3 Reorder the terms: 5 + 0.5(7 + 6n) = 3 5 + (7 * 0.5 + 6n * 0.5) = 3 5 + (3.5 + 3n) = 3 Combine like terms: 5 + 3.5 = 8.5 8.5 + 3n = 3 Solving 8.5 + 3n = 3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + 3n = 3 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 3n = 3 + -8.5 3n = 3 + -8.5 Combine like terms: 3 + -8.5 = -5.5 3n = -5.5 Divide each side by '3'. n = -1.833333333 Simplifying n = -1.833333333
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