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Simplifying 10n + 12 + -9 + -7n + -4n = 31 Reorder the terms: 12 + -9 + 10n + -7n + -4n = 31 Combine like terms: 12 + -9 = 3 3 + 10n + -7n + -4n = 31 Combine like terms: 10n + -7n = 3n 3 + 3n + -4n = 31 Combine like terms: 3n + -4n = -1n 3 + -1n = 31 Solving 3 + -1n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 31 + -3 -1n = 31 + -3 Combine like terms: 31 + -3 = 28 -1n = 28 Divide each side by '-1'. n = -28 Simplifying n = -28
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