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Simplifying -6n + 8 + n + -7n = -14n + 2 + 4n Reorder the terms: 8 + -6n + n + -7n = -14n + 2 + 4n Combine like terms: -6n + n = -5n 8 + -5n + -7n = -14n + 2 + 4n Combine like terms: -5n + -7n = -12n 8 + -12n = -14n + 2 + 4n Reorder the terms: 8 + -12n = 2 + -14n + 4n Combine like terms: -14n + 4n = -10n 8 + -12n = 2 + -10n Solving 8 + -12n = 2 + -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. 8 + -12n + 10n = 2 + -10n + 10n Combine like terms: -12n + 10n = -2n 8 + -2n = 2 + -10n + 10n Combine like terms: -10n + 10n = 0 8 + -2n = 2 + 0 8 + -2n = 2 Add '-8' to each side of the equation. 8 + -8 + -2n = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 2 + -8 -2n = 2 + -8 Combine like terms: 2 + -8 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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