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Simplifying -13 + 5n + -1 + -1n = n + 1 Reorder the terms: -13 + -1 + 5n + -1n = n + 1 Combine like terms: -13 + -1 = -14 -14 + 5n + -1n = n + 1 Combine like terms: 5n + -1n = 4n -14 + 4n = n + 1 Reorder the terms: -14 + 4n = 1 + n Solving -14 + 4n = 1 + 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. -14 + 4n + -1n = 1 + n + -1n Combine like terms: 4n + -1n = 3n -14 + 3n = 1 + n + -1n Combine like terms: n + -1n = 0 -14 + 3n = 1 + 0 -14 + 3n = 1 Add '14' to each side of the equation. -14 + 14 + 3n = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 3n = 1 + 14 3n = 1 + 14 Combine like terms: 1 + 14 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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