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Simplifying 5n + 14 = -2n Reorder the terms: 14 + 5n = -2n Solving 14 + 5n = -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. 14 + 5n + 2n = -2n + 2n Combine like terms: 5n + 2n = 7n 14 + 7n = -2n + 2n Combine like terms: -2n + 2n = 0 14 + 7n = 0 Add '-14' to each side of the equation. 14 + -14 + 7n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 0 + -14 7n = 0 + -14 Combine like terms: 0 + -14 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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