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Simplifying 13 + -4n + 2 + -6n = 12n + 5 + -3 Reorder the terms: 13 + 2 + -4n + -6n = 12n + 5 + -3 Combine like terms: 13 + 2 = 15 15 + -4n + -6n = 12n + 5 + -3 Combine like terms: -4n + -6n = -10n 15 + -10n = 12n + 5 + -3 Reorder the terms: 15 + -10n = 5 + -3 + 12n Combine like terms: 5 + -3 = 2 15 + -10n = 2 + 12n Solving 15 + -10n = 2 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 15 + -10n + -12n = 2 + 12n + -12n Combine like terms: -10n + -12n = -22n 15 + -22n = 2 + 12n + -12n Combine like terms: 12n + -12n = 0 15 + -22n = 2 + 0 15 + -22n = 2 Add '-15' to each side of the equation. 15 + -15 + -22n = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -22n = 2 + -15 -22n = 2 + -15 Combine like terms: 2 + -15 = -13 -22n = -13 Divide each side by '-22'. n = 0.5909090909 Simplifying n = 0.5909090909
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