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Simplifying -5n + -4(-3 + -8n) = 28 + 3n -5n + (-3 * -4 + -8n * -4) = 28 + 3n -5n + (12 + 32n) = 28 + 3n Reorder the terms: 12 + -5n + 32n = 28 + 3n Combine like terms: -5n + 32n = 27n 12 + 27n = 28 + 3n Solving 12 + 27n = 28 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 12 + 27n + -3n = 28 + 3n + -3n Combine like terms: 27n + -3n = 24n 12 + 24n = 28 + 3n + -3n Combine like terms: 3n + -3n = 0 12 + 24n = 28 + 0 12 + 24n = 28 Add '-12' to each side of the equation. 12 + -12 + 24n = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 24n = 28 + -12 24n = 28 + -12 Combine like terms: 28 + -12 = 16 24n = 16 Divide each side by '24'. n = 0.6666666667 Simplifying n = 0.6666666667
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