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Simplifying 10n + 7 + -3n + 5 = 0 Reorder the terms: 7 + 5 + 10n + -3n = 0 Combine like terms: 7 + 5 = 12 12 + 10n + -3n = 0 Combine like terms: 10n + -3n = 7n 12 + 7n = 0 Solving 12 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = 0 + -12 7n = 0 + -12 Combine like terms: 0 + -12 = -12 7n = -12 Divide each side by '7'. n = -1.714285714 Simplifying n = -1.714285714
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