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Simplifying n + 5 = 4n + -6 Reorder the terms: 5 + n = 4n + -6 Reorder the terms: 5 + n = -6 + 4n Solving 5 + n = -6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + n + -4n = -6 + 4n + -4n Combine like terms: n + -4n = -3n 5 + -3n = -6 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -3n = -6 + 0 5 + -3n = -6 Add '-5' to each side of the equation. 5 + -5 + -3n = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = -6 + -5 -3n = -6 + -5 Combine like terms: -6 + -5 = -11 -3n = -11 Divide each side by '-3'. n = 3.666666667 Simplifying n = 3.666666667
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