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Simplifying -3n + -5 + n = 4n + 13 Reorder the terms: -5 + -3n + n = 4n + 13 Combine like terms: -3n + n = -2n -5 + -2n = 4n + 13 Reorder the terms: -5 + -2n = 13 + 4n Solving -5 + -2n = 13 + 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 + -2n + -4n = 13 + 4n + -4n Combine like terms: -2n + -4n = -6n -5 + -6n = 13 + 4n + -4n Combine like terms: 4n + -4n = 0 -5 + -6n = 13 + 0 -5 + -6n = 13 Add '5' to each side of the equation. -5 + 5 + -6n = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -6n = 13 + 5 -6n = 13 + 5 Combine like terms: 13 + 5 = 18 -6n = 18 Divide each side by '-6'. n = -3 Simplifying n = -3
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