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Simplifying 14 + 5n = -4n + 7 Reorder the terms: 14 + 5n = 7 + -4n Solving 14 + 5n = 7 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 14 + 5n + 4n = 7 + -4n + 4n Combine like terms: 5n + 4n = 9n 14 + 9n = 7 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 9n = 7 + 0 14 + 9n = 7 Add '-14' to each side of the equation. 14 + -14 + 9n = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 9n = 7 + -14 9n = 7 + -14 Combine like terms: 7 + -14 = -7 9n = -7 Divide each side by '9'. n = -0.7777777778 Simplifying n = -0.7777777778
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