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Simplifying 5n + -2 + -2n = 3n + 14 + 6n Reorder the terms: -2 + 5n + -2n = 3n + 14 + 6n Combine like terms: 5n + -2n = 3n -2 + 3n = 3n + 14 + 6n Reorder the terms: -2 + 3n = 14 + 3n + 6n Combine like terms: 3n + 6n = 9n -2 + 3n = 14 + 9n Solving -2 + 3n = 14 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -2 + 3n + -9n = 14 + 9n + -9n Combine like terms: 3n + -9n = -6n -2 + -6n = 14 + 9n + -9n Combine like terms: 9n + -9n = 0 -2 + -6n = 14 + 0 -2 + -6n = 14 Add '2' to each side of the equation. -2 + 2 + -6n = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -6n = 14 + 2 -6n = 14 + 2 Combine like terms: 14 + 2 = 16 -6n = 16 Divide each side by '-6'. n = -2.666666667 Simplifying n = -2.666666667
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