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Simplifying 5(12n + -4) = 14 + -10n Reorder the terms: 5(-4 + 12n) = 14 + -10n (-4 * 5 + 12n * 5) = 14 + -10n (-20 + 60n) = 14 + -10n Solving -20 + 60n = 14 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -20 + 60n + 10n = 14 + -10n + 10n Combine like terms: 60n + 10n = 70n -20 + 70n = 14 + -10n + 10n Combine like terms: -10n + 10n = 0 -20 + 70n = 14 + 0 -20 + 70n = 14 Add '20' to each side of the equation. -20 + 20 + 70n = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 70n = 14 + 20 70n = 14 + 20 Combine like terms: 14 + 20 = 34 70n = 34 Divide each side by '70'. n = 0.4857142857 Simplifying n = 0.4857142857
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