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Simplifying 4n + 13 = n + -2 Reorder the terms: 13 + 4n = n + -2 Reorder the terms: 13 + 4n = -2 + n Solving 13 + 4n = -2 + 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. 13 + 4n + -1n = -2 + n + -1n Combine like terms: 4n + -1n = 3n 13 + 3n = -2 + n + -1n Combine like terms: n + -1n = 0 13 + 3n = -2 + 0 13 + 3n = -2 Add '-13' to each side of the equation. 13 + -13 + 3n = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 3n = -2 + -13 3n = -2 + -13 Combine like terms: -2 + -13 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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