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Simplifying n + 6 = -4n + -14 Reorder the terms: 6 + n = -4n + -14 Reorder the terms: 6 + n = -14 + -4n Solving 6 + n = -14 + -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. 6 + n + 4n = -14 + -4n + 4n Combine like terms: n + 4n = 5n 6 + 5n = -14 + -4n + 4n Combine like terms: -4n + 4n = 0 6 + 5n = -14 + 0 6 + 5n = -14 Add '-6' to each side of the equation. 6 + -6 + 5n = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = -14 + -6 5n = -14 + -6 Combine like terms: -14 + -6 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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