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Simplifying 6n + -8 + 4n + -6 = -2n + -10 Reorder the terms: -8 + -6 + 6n + 4n = -2n + -10 Combine like terms: -8 + -6 = -14 -14 + 6n + 4n = -2n + -10 Combine like terms: 6n + 4n = 10n -14 + 10n = -2n + -10 Reorder the terms: -14 + 10n = -10 + -2n Solving -14 + 10n = -10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -14 + 10n + 2n = -10 + -2n + 2n Combine like terms: 10n + 2n = 12n -14 + 12n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 -14 + 12n = -10 + 0 -14 + 12n = -10 Add '14' to each side of the equation. -14 + 14 + 12n = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 12n = -10 + 14 12n = -10 + 14 Combine like terms: -10 + 14 = 4 12n = 4 Divide each side by '12'. n = 0.3333333333 Simplifying n = 0.3333333333
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