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Simplifying -2n + -5 + 4n = 7 + 5n + 6 Reorder the terms: -5 + -2n + 4n = 7 + 5n + 6 Combine like terms: -2n + 4n = 2n -5 + 2n = 7 + 5n + 6 Reorder the terms: -5 + 2n = 7 + 6 + 5n Combine like terms: 7 + 6 = 13 -5 + 2n = 13 + 5n Solving -5 + 2n = 13 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -5 + 2n + -5n = 13 + 5n + -5n Combine like terms: 2n + -5n = -3n -5 + -3n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 -5 + -3n = 13 + 0 -5 + -3n = 13 Add '5' to each side of the equation. -5 + 5 + -3n = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = 13 + 5 -3n = 13 + 5 Combine like terms: 13 + 5 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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