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Simplifying 5 + 0.5(6n + 14) = 1 Reorder the terms: 5 + 0.5(14 + 6n) = 1 5 + (14 * 0.5 + 6n * 0.5) = 1 5 + (7 + 3n) = 1 Combine like terms: 5 + 7 = 12 12 + 3n = 1 Solving 12 + 3n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3n = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 1 + -12 3n = 1 + -12 Combine like terms: 1 + -12 = -11 3n = -11 Divide each side by '3'. n = -3.666666667 Simplifying n = -3.666666667
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