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Simplifying -13 + n + 6 + 5 = 5 + 4n + -4 Reorder the terms: -13 + 6 + 5 + n = 5 + 4n + -4 Combine like terms: -13 + 6 = -7 -7 + 5 + n = 5 + 4n + -4 Combine like terms: -7 + 5 = -2 -2 + n = 5 + 4n + -4 Reorder the terms: -2 + n = 5 + -4 + 4n Combine like terms: 5 + -4 = 1 -2 + n = 1 + 4n Solving -2 + n = 1 + 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. -2 + n + -4n = 1 + 4n + -4n Combine like terms: n + -4n = -3n -2 + -3n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -2 + -3n = 1 + 0 -2 + -3n = 1 Add '2' to each side of the equation. -2 + 2 + -3n = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = 1 + 2 -3n = 1 + 2 Combine like terms: 1 + 2 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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