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Simplifying 7n + -1n + -31 = 83 Reorder the terms: -31 + 7n + -1n = 83 Combine like terms: 7n + -1n = 6n -31 + 6n = 83 Solving -31 + 6n = 83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 6n = 83 + 31 Combine like terms: -31 + 31 = 0 0 + 6n = 83 + 31 6n = 83 + 31 Combine like terms: 83 + 31 = 114 6n = 114 Divide each side by '6'. n = 19 Simplifying n = 19
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