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Simplifying 3n + -13 = n + -5 Reorder the terms: -13 + 3n = n + -5 Reorder the terms: -13 + 3n = -5 + n Solving -13 + 3n = -5 + 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 + 3n + -1n = -5 + n + -1n Combine like terms: 3n + -1n = 2n -13 + 2n = -5 + n + -1n Combine like terms: n + -1n = 0 -13 + 2n = -5 + 0 -13 + 2n = -5 Add '13' to each side of the equation. -13 + 13 + 2n = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 2n = -5 + 13 2n = -5 + 13 Combine like terms: -5 + 13 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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