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Simplifying 12n + 5 + -7n = 45 Reorder the terms: 5 + 12n + -7n = 45 Combine like terms: 12n + -7n = 5n 5 + 5n = 45 Solving 5 + 5n = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5n = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 5n = 45 + -5 5n = 45 + -5 Combine like terms: 45 + -5 = 40 5n = 40 Divide each side by '5'. n = 8 Simplifying n = 8
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