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Simplifying 3n + 13 = 5 + -1n Reorder the terms: 13 + 3n = 5 + -1n Solving 13 + 3n = 5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 13 + 3n + n = 5 + -1n + n Combine like terms: 3n + n = 4n 13 + 4n = 5 + -1n + n Combine like terms: -1n + n = 0 13 + 4n = 5 + 0 13 + 4n = 5 Add '-13' to each side of the equation. 13 + -13 + 4n = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 4n = 5 + -13 4n = 5 + -13 Combine like terms: 5 + -13 = -8 4n = -8 Divide each side by '4'. n = -2 Simplifying n = -2
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