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Simplifying 82 + -1n + 13 = 46 Reorder the terms: 82 + 13 + -1n = 46 Combine like terms: 82 + 13 = 95 95 + -1n = 46 Solving 95 + -1n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1n = 46 + -95 Combine like terms: 95 + -95 = 0 0 + -1n = 46 + -95 -1n = 46 + -95 Combine like terms: 46 + -95 = -49 -1n = -49 Divide each side by '-1'. n = 49 Simplifying n = 49
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