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Simplifying 5n + 2 = -14 + -1n Reorder the terms: 2 + 5n = -14 + -1n Solving 2 + 5n = -14 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 2 + 5n + n = -14 + -1n + n Combine like terms: 5n + n = 6n 2 + 6n = -14 + -1n + n Combine like terms: -1n + n = 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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