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Simplifying 0.5 + 0.5(6n + 14) = 3 Reorder the terms: 0.5 + 0.5(14 + 6n) = 3 0.5 + (14 * 0.5 + 6n * 0.5) = 3 0.5 + (7 + 3n) = 3 Combine like terms: 0.5 + 7 = 7.5 7.5 + 3n = 3 Solving 7.5 + 3n = 3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 3n = 3 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3n = 3 + -7.5 3n = 3 + -7.5 Combine like terms: 3 + -7.5 = -4.5 3n = -4.5 Divide each side by '3'. n = -1.5 Simplifying n = -1.5
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