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Simplifying 0.5(2n + 6) = 5n + -12 + -2 Reorder the terms: 0.5(6 + 2n) = 5n + -12 + -2 (6 * 0.5 + 2n * 0.5) = 5n + -12 + -2 (3 + 1n) = 5n + -12 + -2 Reorder the terms: 3 + 1n = -12 + -2 + 5n Combine like terms: -12 + -2 = -14 3 + 1n = -14 + 5n Solving 3 + 1n = -14 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + 1n + -5n = -14 + 5n + -5n Combine like terms: 1n + -5n = -4n 3 + -4n = -14 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -4n = -14 + 0 3 + -4n = -14 Add '-3' to each side of the equation. 3 + -3 + -4n = -14 + -3 Combine like terms: 3 + -3 = 0 0 + -4n = -14 + -3 -4n = -14 + -3 Combine like terms: -14 + -3 = -17 -4n = -17 Divide each side by '-4'. n = 4.25 Simplifying n = 4.25
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