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Simplifying 5n + 8 = 2n + -2 Reorder the terms: 8 + 5n = 2n + -2 Reorder the terms: 8 + 5n = -2 + 2n Solving 8 + 5n = -2 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + 5n + -2n = -2 + 2n + -2n Combine like terms: 5n + -2n = 3n 8 + 3n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + 3n = -2 + 0 8 + 3n = -2 Add '-8' to each side of the equation. 8 + -8 + 3n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 3n = -2 + -8 3n = -2 + -8 Combine like terms: -2 + -8 = -10 3n = -10 Divide each side by '3'. n = -3.333333333 Simplifying n = -3.333333333
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