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Simplifying 5n + 5 + -3n + 2 + 4n = 0 Reorder the terms: 5 + 2 + 5n + -3n + 4n = 0 Combine like terms: 5 + 2 = 7 7 + 5n + -3n + 4n = 0 Combine like terms: 5n + -3n = 2n 7 + 2n + 4n = 0 Combine like terms: 2n + 4n = 6n 7 + 6n = 0 Solving 7 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 0 + -7 6n = 0 + -7 Combine like terms: 0 + -7 = -7 6n = -7 Divide each side by '6'. n = -1.166666667 Simplifying n = -1.166666667
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