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Simplifying -4n + 20 + -16n + 7 = n + -71 Reorder the terms: 20 + 7 + -4n + -16n = n + -71 Combine like terms: 20 + 7 = 27 27 + -4n + -16n = n + -71 Combine like terms: -4n + -16n = -20n 27 + -20n = n + -71 Reorder the terms: 27 + -20n = -71 + n Solving 27 + -20n = -71 + 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. 27 + -20n + -1n = -71 + n + -1n Combine like terms: -20n + -1n = -21n 27 + -21n = -71 + n + -1n Combine like terms: n + -1n = 0 27 + -21n = -71 + 0 27 + -21n = -71 Add '-27' to each side of the equation. 27 + -27 + -21n = -71 + -27 Combine like terms: 27 + -27 = 0 0 + -21n = -71 + -27 -21n = -71 + -27 Combine like terms: -71 + -27 = -98 -21n = -98 Divide each side by '-21'. n = 4.666666667 Simplifying n = 4.666666667
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