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Simplifying 12n + -84 = 5n Reorder the terms: -84 + 12n = 5n Solving -84 + 12n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -84 + 12n + -5n = 5n + -5n Combine like terms: 12n + -5n = 7n -84 + 7n = 5n + -5n Combine like terms: 5n + -5n = 0 -84 + 7n = 0 Add '84' to each side of the equation. -84 + 84 + 7n = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 7n = 0 + 84 7n = 0 + 84 Combine like terms: 0 + 84 = 84 7n = 84 Divide each side by '7'. n = 12 Simplifying n = 12
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