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Simplifying 4 + 12n + -3 = 5n + 31 + -3 Reorder the terms: 4 + -3 + 12n = 5n + 31 + -3 Combine like terms: 4 + -3 = 1 1 + 12n = 5n + 31 + -3 Reorder the terms: 1 + 12n = 31 + -3 + 5n Combine like terms: 31 + -3 = 28 1 + 12n = 28 + 5n Solving 1 + 12n = 28 + 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. 1 + 12n + -5n = 28 + 5n + -5n Combine like terms: 12n + -5n = 7n 1 + 7n = 28 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + 7n = 28 + 0 1 + 7n = 28 Add '-1' to each side of the equation. 1 + -1 + 7n = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 28 + -1 7n = 28 + -1 Combine like terms: 28 + -1 = 27 7n = 27 Divide each side by '7'. n = 3.857142857 Simplifying n = 3.857142857
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