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Simplifying 12n + -3 = 5n + 10 Reorder the terms: -3 + 12n = 5n + 10 Reorder the terms: -3 + 12n = 10 + 5n Solving -3 + 12n = 10 + 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. -3 + 12n + -5n = 10 + 5n + -5n Combine like terms: 12n + -5n = 7n -3 + 7n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + 7n = 10 + 0 -3 + 7n = 10 Add '3' to each side of the equation. -3 + 3 + 7n = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 10 + 3 7n = 10 + 3 Combine like terms: 10 + 3 = 13 7n = 13 Divide each side by '7'. n = 1.857142857 Simplifying n = 1.857142857
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