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Simplifying 8 + 2n + -5 = 7n + 27 + -2n Reorder the terms: 8 + -5 + 2n = 7n + 27 + -2n Combine like terms: 8 + -5 = 3 3 + 2n = 7n + 27 + -2n Reorder the terms: 3 + 2n = 27 + 7n + -2n Combine like terms: 7n + -2n = 5n 3 + 2n = 27 + 5n Solving 3 + 2n = 27 + 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. 3 + 2n + -5n = 27 + 5n + -5n Combine like terms: 2n + -5n = -3n 3 + -3n = 27 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -3n = 27 + 0 3 + -3n = 27 Add '-3' to each side of the equation. 3 + -3 + -3n = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = 27 + -3 -3n = 27 + -3 Combine like terms: 27 + -3 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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