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Simplifying -6n + 13 + -14n + 8 = n + -77 Reorder the terms: 13 + 8 + -6n + -14n = n + -77 Combine like terms: 13 + 8 = 21 21 + -6n + -14n = n + -77 Combine like terms: -6n + -14n = -20n 21 + -20n = n + -77 Reorder the terms: 21 + -20n = -77 + n Solving 21 + -20n = -77 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 21 + -20n + -1n = -77 + n + -1n Combine like terms: -20n + -1n = -21n 21 + -21n = -77 + n + -1n Combine like terms: n + -1n = 0 21 + -21n = -77 + 0 21 + -21n = -77 Add '-21' to each side of the equation. 21 + -21 + -21n = -77 + -21 Combine like terms: 21 + -21 = 0 0 + -21n = -77 + -21 -21n = -77 + -21 Combine like terms: -77 + -21 = -98 -21n = -98 Divide each side by '-21'. n = 4.666666667 Simplifying n = 4.666666667
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